List of Publications
Book
1. Rearrangements and convexity of level sets in PDE.
Springer Lecture Notes in Math. 1150 (1985), p. 1-134.
Articles in refereed Journals
124.
mit Koautor G.Sweers: On a formula for all sets of constant width in 3d. J. Geom. Analysis 24 (2024) Paper No 197
123.
mit Koautoren R.Hynd & P.Lindqvist: On the uniqueness of eigenfunctions for the vectorial p-Laplacian Archiv der Mathematik 121 (2023), p.745-755
122.
How I met the normalized p-Laplacian Delta_p^N and what we know now about
mean values and concavity properties,
Journal of Elliptic and Parabolic Equations 6 (2020), p. 113-121.
121.
mit Koautoren G. Crasta und I. Fragala, On the first eigenvalue of the normalized p-Laplacian,
Proc. Amer. Math. Soc. 148 (2020), p. 577-590.
120.
mit Koautor M. Lucia,
Some results related to Schiffer's problem,
Journal d'Analyse Mathematique 142 (2020), p.667-696.
119.
mit Koautor G. Sweers,
On a formula for sets of constant width in 2d,
Comm. Pure Appl. Anal. 18 (2019), p. 2117-2231.
118.
mit Koautor D. Krejčiřík,
From Symmetry to Monotonicity, Math. Intelligencer 40 (2018), p. 12-13.
117.
mit Koautor A. Banerjee, Overdetermined problems for the normalized p-Laplacian,
Proc. Amer. Math. Soc. Ser. B 5 (2018), p. 18-24.
116.
mit Koautoren V. Ferone und C. Nitsch: Generalized Elastica Problems under Area Constraint, Math. Res. Letters 25 (2018), p. 521-533.
115.
mit Koautor J. Horak, On the geometry of the p-Laplacian operator, Discrete Cont. Dyn. Syst., Ser. S 10 (2017), p. 799-813.
114.
Two dimensions are easier,
Archiv der Mathematik 107 (2016), p. 423-428.
113.
mit Koautoren V. Ferone und C. Nitsch: The elastica problem under area constraint, Mathematische Annalen 365 (2016), p. 987-1015.
112.
First eigenvalues of indiscrete $p$-Laplacians, Oberwolfach Reports 12 (2015), p. 411-415.
111.
mit Koautoren L. Esposito, C. Nitsch und C. Trombetti: The Neumann eigenvalue problem for the ∞-Laplacian, Rend. Lincei Mat. Appl. 26 (2015), p. 119-134.
110.
mit Koautoren G. Chobanov und N. Kutev: Jump discontinuous viscosity solutions to second order degenerate elliptic equations, Nonlinear Analysis, Theory, Methods and Applications 119 (2015), p. 469-483.
109.
mit Koautoren C. Nitsch und G. Sweers:
More on the potential for the farthest-point distance function, Potential Analysis 42 (2015), p. 699-716.
108.
mit Koautor F. Schuricht:
First eigenfunctions of the 1-Laplacian are viscosity solutions.
Commun. Pure Appl. Anal. 14 (2015), p. 329-339.
107.
mit Koautoren S. Krömer und J. Kurtz:
Radial eigenfunctions for the game-theoretic p-Laplacian on a ball. Differential and Integral Equations 27 (2014), p. 659-670.
106.
The p-Laplacian Operator and Applications, Oberwolfach Reports 11 (2013), p. 475-478.
105.
mit Koautoren L. Esposito, V. Ferone, C. Nitsch und C. Trombetti:
The longest shortest fence and sharp Poincaré Sobolev inequalities,
Arch. Ration. Mech. Anal. 206 (2012), p. 821-851.
104.
mit Koautor S. Krömer:
Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential, Adv. Calc. Var. 5 (2012), p. 427-432.
103.
mit Koautor N. Kutev:
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations,
Acta Mathematica Scientia 32 (2012), p. 15-40.
102.
mit Koautoren J. Manfredi und M. Parviainen:
Solutions of nonlinear PDEs in the sense of averages,
J. Math. Pures Appl. 97 (2012), p. 173-188.
101.
mit Koautor V. Kurta:
The longest shortest piercing, in: Inequalities and Applications 10, Int. Ser. Numer. Math. 161 (2012), p. 119-124.
100.
mit Koautor Christof Weber:
Meissner's Mysterious Bodies, Mathematical Intelligencer 30 (2011), p. 94-101.
99.
mit Koautor V. Kurta:
A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities, Comm. Pure Appl. Anal. 10 (2011), p. 1747-1762.
98.
Variations on the p-Laplacian, in: Nonlinear Elliptic Partial Differential Equations, Eds. D. Bonheure, P. Takac et al., Contemporary Mathematics 540 (2011), p. 35-46.
97.
mit Koautoren N. Fusco, P. Hajlasz und P. Koskela:
Open problem session, Oberwolfach Reports 7 (2010), p. 365-369.
96. mit Koautor G. Buttazzo:
Overdetermined boundary value problems for the ∞-Laplacian, Intern.Mathem. Res. Notices 2011 (2011), p. 237-247.
95.
mit Koautor D. Daners:
An isoperimetric inequality related to a Bernoulli problem, Calc. Var. Partial Differential Equations 39 (2010), p. 547-555.
94.
mit Koautor A. Greco:
On the convexity of some free boundaries, Interfaces and Free Boundaries 11 (2009), p. 503-514.
93.
Convex sets of constant width, Oberwolfach Reports 6 (2009), p. 390-393.
92. mit Koautor V. Ferone:
Remarks on a Finsler Laplacian, Proc. Amer. Math. Soc. 137 (2009), p. 247-253.
91.
Variational versus PDE-based Approaches in Mathematical Image Processing, CRM Proceedings and Lecture Notes 44 (2008), p. 113-126
90. mit Koautor M. Lucia:
Best constants in some exponential Sobolev inequalities, Indiana Univ. Math. J. 57 (2008), p. 1907-1927.
89. mit Koautor A. Farina:
Remarks on an overdetermined boundary value problem, Calc. Var. Partial Differential Equations 31 (2008), p. 351-357.
88. mit Koautoren M. Lucia & S. Prashanth:
Simplicity of the principal eigenvalue for indefinite quasilinear problems, Advances in Differential Equations 12 (2007), p. 407-434.
87. Overdetermined problems and the p-Laplacian, Acta Math. Univ. Comenianae 76 (2007), p. 77-83.
86. mit Koautor P. Lindqvist:
Positive eigenfunctions for the p-Laplace operator revisited, Analysis 26 (2006), p. 539-544.
85. mit Koautor M. Novaga:
The p-Laplace eigenvalue problem as p approaches 1 and Cheeger sets in a Finsler metric, J. Convex Anal. 15 (2008), p. 623-634.
84. mit Koautor N. Kutev:
Comparison principle for viscosity solutions of fully linear, degenerate elliptic equations, Commun. Partial Differ. Eq. 32 (2007), p. 1209-1224.
83. mit Koautor F. Schuricht:
Dirichlet problems for the 1-Laplace operator, including the eigenvalue problem, Commun. Contemp. Math. 9 (2007),
p. 515-543.
82. mit Koautoren M. Belloni und D. Horstmann, Cones based on reflection symmetric polygons: Remarks on a problem by A. Pleijel, Forum Mathematicum 19 (2007), p. 933-953.
81. mit Koautoren M. Chipot und W. Gangbo: On some nonlocal variational problems, Analysis and Applications (AA) 4 (2006), p. 345-356.
80. mit Koautor P. Juutinen: On the evolution governed by the infinity Laplacian, Math. Annalen 335 (2006), p. 819-851.
79. mit Koautoren I. Fragala und F. Gazzola: Overdetermined problems with possibly degenerate ellipticity, a geometric approach, Math. Zeitschr. 254 (2006), p. 117-132.
78. mit Koautor G. Sweers: On the differential equation uxxxx+uyyyy = f for an anisotropic stiff material, SIAM J. Math. Anal. 37 (2006), p. 1828-1853.
77. mit Koautoren M. Belloni und P. Juutinen: The p-Laplace eigenvalue problem as p→∞ in a Finsler metric, J. Europ. Math. Soc. 8 (2006), p. 123-138.
76. mit Koautor T. Lachand-Robert: Characterization of Cheeger sets for convex subsets of the plane, Pacific J.Math. 225 (2006), p. 103-118.
75. mit Koautor H. Shahgholian, Gamma limits in some Bernoulli free boundary problems, Archiv d. Math. 84 (2005), p. 79-87.
74. mit Koautor J. Stara: Observations on a nonlinear evolution equation, Applic. Anal. 85 (2006), p. 143-152.
73. Symetrie: Ano či ne?, Pokroky matematiky, fyziky a astronomie 48
(2003), p. 265-276.
72. mit Koautoren I. Fragala und F. Gazzola: Existence and nonexistence results for anisotropic quasilinear elliptic equations, Ann Inst. H. Poincaré 21 (2004), p. 715-734.
71. From Mumford-Shah to Perona-Malik in image processing, Math. Methods Appl. Sci. 27 (2004), p. 1803-1814.
70. mit Koautoren M. Belloni und V. Ferone: Isoperimetric inequalities, Wulff shape and related questions for strongly nonlinear elliptic operators, J. Appl. Math. Phys. (ZAMP) 54 (2003), p. 771-783.
69. mit Koautor V. Fridman: Isoperimetric estimates for the first eigenvalue of the p-Laplace operator and the Cheeger constant, Comment. Math. Univ. Carolinae 44 (2003), p. 659-667.
68. mit Koautor M. Belloni: The pseudo-p-Laplace eigenvalue problems and viscosity solutions as p to infinity, ESAIM COCV 10 (2004), p. 28-52.
67. mit Koautor M. Belloni: A direct uniqueness proof for equations involving the p-Laplace operator, manuscripta math. 109 (2002), p. 229-231.
66. mit Koautor G. Sweers: On 'anti'-eigenvalues for elliptic systems and a question of McKenna and Walter, Indiana Univ. Math. J. 51 (2002), p. 1023-1040.
65. mit Koautor G.Sweers: Inheritance of symmetry for positive solutions of semilinear elliptic boundary value problems, Ann I. H. Poincare - AN 19 (2002), p. 705-714.
64. mit Koautor V. Ferone: Rearrangements and fourth oder equations. Quarterly of Applied Mathematics 61 (2003), p. 337-343.
63. mit Koautor G. Sweers: Among all 2-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion. 21 p., Journal d'Analyse Mathematique, 86 (2002), p. 335-357 link to extended version
62. mit Koautoren D. Horstmann und P. Villaggio: Newton's Aerodynamic Problem in the Presence of Friction. NoDEA 9 (2002), p. 295-307.
61. mit Koautor G.Buttazzo: On Newton's problem of minimal resistance, Mathematical Conversations, Eds.: R.Wilson & J. Gray, Springer Verlag, New York (2001), p. 250-258.
60. mit Koautor M.Fila: Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition, Adv. Math. Sci. App. 11 (2001) p. 113-126.
59. Symmetry results for functions yielding best constants in Sobolev-type inequalities, Discr. and Cont. Dyn. Systems 63 (2000), p. 683-690.
58. Some nonconvex shape optimization problems, in: Optimal Shape Design, Eds. A.Cellina u. A. Ornelas, Springer Lecture Notes in Math. 1740 (2000), p. 7-46
57. mit Koautor Antonio Greco: Log-concavity in some parabolic problems, 12
Seiten, Electronic Journal of Differential Equations, Vol. 1999, No. 19,
p. 1-12, http://ejde.math.unt.edu
56. mit Koautor N. Kutev: Comparison principle and Lipschitz regularity for viscosity solutions of some classes of nonlinear partial differential equations, Funkcialaj Ekvacioj 43 (2000), p. 241-253.
55. mit Koautor M.Belloni: A symmetry problem
related to Wirtinger's and Poincaré's inequality ,
J. Differ. Equations 156 (1999), p. 211-218.
54. mit Koautor S.Cox und Paul X.Uhlig: The optimal insulation of
conductors ,
J. Optim. Theory Appl. 100 (1999), p. 253-263.
53. Was ist eine runde Sache? , GAMM Mitteilungen
21 (1998), p. 43-56.
52. mit Koautor V.Ferone: Bodies of minimal resistance under prescribed
surface area,
Zeitschrift Angew. Math. Mech. (ZAMM), Research Article 79 (1999), p. 277-280.
51. Symmetry or not? Mathematical Intelligencer 20 (1998), p. 16-22.
50. mit Koautor S.Cox:
Circular symmetrization and extremal Robin conditions,
Zeitschrift Angew. Math. Phys. (ZAMP) 50 (1999), p. 301-311.
49. mit Koautor N.Kutev: Strong maximum principle for semicontinuous viscosity
solutions of nonlinear partial differential equations, Archiv der Mathematik
70 (1998), p. 470-479.
48. mit Koautor N.Kutev: Maximum principle and comparison theorems for anisotropic diffusion , Mathematische Annalen 311 (1998), p. 107-123.
47. mit Koautor J.Lang: Are some optimal shape problems convex? J. Convex
Analysis
4 (1997), p. 353-361.
46. The opaque square and the opaque circle, in: General Inequalities
VII, Int. Ser. Numer. Math. 123 (1997), p. 339-346.
45. mit Koautor C.Schwab: Convergent finite elements for a class of nonconvex
variational problems, IMA J. Numer. Anal. 18 (1998), p.133-149.
44. mit Koautoren F.Brock und V.Ferone: A symmetry problem in the calculus
of variations, Calc. Var. Partial Differential Equations 4 (1996), p. 593-599.
43. Remarks on quenching, Documenta Mathematica (Elektronische Zeitschrift
der DMV)
1 (1996), p. 199-208.
42. mit Koautor M.Belloni: A paper of Legendre revisited,
Forum Mathematicum 9
(1997), p. 655-668.
41. Solution to a conjectured heat flow problem, SIAM Review 37
(1995), p. 104-105.
40. Instability criteria for solutions of second order elliptic
quasilinear differential equations, in: Partial Differential Equations
and Applications: collected papers in honor of Carlo Pucci, Eds.
P.Marcellini, G.Talenti, E. Vesentini, Marcel Decker, New York (1996), p.
201-208
39. mit Koautor N.Kutev: Global behaviour of solutions to a parabolic mean
curvature equation,
Differential and Integral Equations 8 (1995), p. 1923-1946.
38. mit Koautoren G.Buttazzo and V.Ferone: Minimum problems over sets of
concave functions and related questions,
Mathematische Nachrichten 173 (1995), p. 71-89.
37. mit Koautoren A.Alvino, V.Ferone und G.Trombetti: An inverse
isoperimetric comparison result, in: Inequalities and
Applications, Ed. R.P.Agarwal, World Scientific Publ.,
World Scientific Series in Applicable Analysis 3 (1994), p. 39-46.
36. mit Koautor G.Buttazzo: On Newton's problem of minimal resistance,
Mathematical Intelligencer 15 (1993), p. 7-12.
35. mit Koautor J.I. Diaz: On convexity and starshapedness of level sets for
some nonlinear elliptic and parabolic problems on convex rings, J. Math.
Anal. Applic. 177 (1993), 263-286.
34. mit Koautoren H.A.Levine und W.Velte, Buckling eigenvalues for a
clamped plate embedded in an elastic medium and related questions.
SIAM J. Math. Anal. 24 (1993), p. 327-340.
33. mit Koautor R.Kersner: On degenerate diffusion with very strong
absorption. Math. Methods Appl. Sci. 15 (1992), p. 469-477.
32. mit Koautoren M.Fila und H.Levine: Quenching for quasilinear
parabolic equations. Comm. Partial Differ. Equations 17
(1992), p. 593-614.
31. A short note on stability. Expositiones Mathematicae 11
(1993), p. 141-144.
30. mit Koautoren J.Stara und G.Wittum: Analysis and numerical
studies of a problem of shape design, Archive Ration. Mech. Anal.
114 (1991), p. 349-363.
29. mit Koautor G.Dziuk: On rotationally symmetric mean curvature
flow, J. Differ. Equations 93 (1991), p. 142-149.
28. mit Koautor G.Sweers: On quasiconvexity, rank-one convexity
and symmetry, Delft Progess R. 14 (1990), p. 251-263.
27. On a family of torsional creep problems, J. Reine Angew. Math.
410 (1990), p. 1-22.
26. mit Koautor M.Fila: Is quenching in infinite time possible?
Quarterly of Applied Math. 48 (1990), p. 531-534.
25. mit Koautor M.Fila: Asymptotic analysis of quenching problems,
Rocky Mt. J. Math. 22 (1992) 563-577.
24. mit Koautor L.Peletier: Observations on blow up and dead cores for nonlinear parabolic equations, Math. Zeitschr. 202 (1989), p. 207-217.
23. mit Koautoren H.Engler und S.Luckhaus: Gradient estimates for solutions of parabolic equations and systems. J. Math. Anal. Appl. 147 (1990), p. 309-329.
22. mit Koautor A.Acker: Remarks on quenching. Nonlinear Analysis, Theory, Methods and Applications 13 (1989), p. 53-61.
21. mit Koautor G.Sweers: Remarks on eigenvalues and
eigenfunctions of a special elliptic system. ZAMP
(J. of Applied Math. and Phys.) 38 (1987), p.
730-740.
20. Qualitative properties of solutions to semilinear heat
equations. Invited Main Article, Expositiones Mathematicae 4 (1986),
p. 257-270.
19. Comparison results between linear and quasilinear elliptic
boundary value problems. J. Math. Anal. Appl. 142 (1989),
p.162-169.
18. On the location of maxima of the gradient for solutions to
quasilinear elliptic problems and a problem raised
by Saint Venant. Journal of Elasticity 17 (1987), p. 195-206.
17. When are solutions to nonlinear elliptic boundary value problems
convex? Comm. Partial Differ. Eq. 10 (1985), p. 1213-1225.
16. Remark on a paper by W.A.Day on a maximum principle under nonlocal
boundary conditions. Quart. Appl. Math. 44 (1987), p. 751-752.
15. On the convexity and symmetry of solutions to an elliptic free boundary problem. J. Austr. Math. Soc. (Ser. A) 42 (1987), p. 57-68.
14. A remark on N.Korevaar's concavity maximum principle and on
the asymptotic uniqueness of solutions to the plasma
problem. Math. Methods Appl. Sci. 8 (1986), p. 93-101.
13. On starshaped rearrangement and applications. Trans. Amer. Math.
Soc. 296 (1986), p. 377-386.
12. On the isoperimetric nature of a rearrangement inequality
and its consequences for some variational problems. Arch.
Ration. Mech. Anal. 94 (1986), p. 227-243.
11. Global existence of large solutions to initial boundary value problems
for a viscous heat conducting one dimensional real gas. J.
Differ. Equations 58 (1985), p. 76-103.
10. A geometric property of level sets of solutions to semilinear
elliptic Dirichlet problems. Applicable Analysis 16 (1983),
p. 229-233.
9. Remark on a fixed point theorem for expanding maps. Applicable
Analysis 16 (1983), p. 121-122.
8. Starshapedness of level sets for the obstacle problem and for
the capacitory potential problem. Proc. Amer. Math. Soc. 89
(1983), p. 637-640.
7. On maximum principles and Liouville theorems for quasilinear
elliptic equations and systems. Comment. Math. Univ. Carolinae 24 (1983), p. 679-697.
6. On nonlinear parabolic equations with abruptly changing nonlinear boundary conditions. Nonlinear Analysis, Theory, Methods and Applications 5 (1981), p. 1141-1153.
5. On Liouville theorems, continuity and Höldercontinuity of weak
solutions to some quasilinear elliptic systems. Comment. Mat.
Univ. Carolinae 21 (1980), p. 679-697.
4. On nonlinear mixed boundary value problems for second order
elliptic equations on domains with corners. Proc. Roy. Soc.
Edinburgh 87 A (1980), p. 35-51.
3. On a mixed Signorini problem. Numerical Functional Analysis and
Optimization 1 (1979), p. 633-645.
2. Coerciveness for second order elliptic differential equations
with unilateral constraints. Nonlinear Analysis, Theory, Methods
and Applications 2 (1978), p. 189-196.
Articles in Conference Proceedings
C30. Symmetry in anisotropic media, in: Equadiff 2003, eds. F. Dumontier, H. Broer, J. Mawhin, A. Vanderbauwhede & S.V. Lunel, World Scientific Publishing Co, Singapore (2005), p. 301-306.
C29. The shape of functions yielding best constants in Sobolev type inequalities, in: Proceedings of the Equadiff 99, ed. : B.Fiedler, K.Gröger, J. Sprekels, World Scientific Publishing Co., Singapore (2000), Vol. 1, p. 558-560.
C28. mit Koautor N.Kutev: Viscosity solutions for degenerate and nonmonotone elliptic equations, in: Applied Nonlinear Analysis, ed.: B. da Vega, A.Sequeira, J.Videman, Plenum Press, New York u. London (1999), p. 185-210.
C27.
Symmetrization - or how to prove symmetry of solutions to partial differential
equations , in: Partial Differential Equations, Theory and Numerical Solution, Eds.: W.Jäger, J.Necas, O.John, K.Najzar, J.Stara, Chapman and Hall CRC Research Notes in Math. 406 London (1999), p. 214-229.
C26. mit Koautor N.Kutev: Image Processing and anisotropic diffusion, in:
Progress
in partial differential equations, Pont à Mousson 1997, Volume I, eds.:
H. Amann,
C. Bandle, M.Chipot, F.Conrad & I.Shafrir, Pitman Res. Notes in Math. Sci.
383, Addison Wesley Longman, Essex (1998), p. 191-199.
C25. mit Koautor M.Belloni: On Newton's problem under side constraints, in: Proc.
Seventh Intern. Colloq. on Differential Equations, eds.: D.Bainov, VSP
Publ., Zeist,
Netherlands (1997), p. 23-30.
C24. Recent results on Newton's problem of minimal resistance, in: Proc. Banach
Center Minisemester Nonlinear Analysis and Applications, ed.: N.Kenmochi, M.
Niezgodka, P. Strzelicki, Gakuto Int. Series Math. Sciences and
Applications
7 (1995), p. 249-259.
C23. A short note on hot spots, Zeitschr. Angew. Math.
Mech. 76 (1996) Suppl. 2, p. 569-570.
C22. On the shape of solutions to some variational problems, (4
lectures) in: Nonlinear Analysis, Function Spaces and Applications V,
ed.: A.Kufner, M.Krbec, Prometheus Publ. House, Prague (1995), p. 77-102.
C21. Remarks on some old and current eigenvalue problems. in: Partial
differential equations of elliptic type. Eds.: A.Alvino, E.Fabes and
G.Talenti. Symposia Mathematica XXXV, Cambridge Univ. Press (1994),
p. 165-183
C20. On a class of singular elliptic equations. in: Progress in partial
differential equations: elliptic and parabolic problems. Eds.: C.Bandle
et al., Pitman Res. Notes in Math. 266, Longman Publ., London
(1992), p. 156-163.
C19. Remarks on the operator -div(∇u/|∇u|). In: Contemporary Mathematics 127: Geometry and nonlinear
partial differential equations, Ed: V.Oliker, A.Treibergs, AMS,
Providence, (1992), p. 69-83.
C18. From p-Laplace to mean curvature operator and related questions.
in: Progress in Partial Differential Equations, the Metz Surveys. Ed.:
M.Chipot, J. Saint Jean Paulin, Pitman Res. Notes in Math. 249,
Longman Publ., London (1991), p. 40-56.
C17. Remarks on quenching, blow up and dead cores. in: Nonlinear Reaction
Diffusion Equations and their Equilibrium States. Ed.: N.G.Lloyd, W.M.Ni,
J.Serrin, L.A.Peletier, Birkhäuser, Boston, (1992), p. 275-286.
C16. Regularity, uniqueness and numerical experiments for a relaxed
optimal design problem. in: Free Boundary Value Problems. Ed.:
K.H.Hoffmann, J.Sprekels. Int. Ser. Numer. Math. 95, Birkhäuser,
Basel (1990), p. 85-100.
C15. On the simple shape of stable equilibria, in: Geometry of solutions
to Partial Differential Equations. Ed.: G.Talenti. Symposia Math.
XXX, Acad. Press, London (1989), p. 73-87.
C14. Continuous symmetrization and related problems, in: Differential
Equations, Ed.: C. Dafermos, G.Ladas, G.C.Papanicolaou. Marcel Dekker,
New York (1989), p. 353-360.
C13. mit Koautor M.Longinetti: On radial symmetry and uniqueness of
positive solutions of a degenerate elliptic eigenvalue
problem. Zeitschr. Angew. Math. Mech. 68 (1988), p. 459-460.
C12. On the convexity of level sets for elliptic and parabolic
exterior boundary value problems. in: Potential Theory, Ed.: J.Kral,
J.Lukes, I.Netuka, J.Vesely. Plenum Publishers, New York (1988), p.
153-159.
C11. Some qualitative properties of nonlinear partial differential
equations.
in: Nonlinear diffusion equations and their equilibrium states
2, eds. W.M.Ni, J.Serrin, L.A.Peletier, MSRI Berkeley Publications
13, Springer Verlag, New York (1988), p. 19-31.
C10. Open problems connected with level sets of harmonic functions. in:
Potential Theory, Surveys and Problems, Ed.: J.Kral, J.Lukes, I.Netuka,
J.Vesely, Springer Lecture Notes in Math. 1344 (1988), p. 207-210.
C9. mit Koautor J.I. Diaz: Convexity and starshapedness of level sets
in some nonlinear parabolic problems. in: Free Boundary Problems,
Theory and Applications, Ed.: K.H. Hoffmann, J.Sprekels, Pitman
Research Notes in Math 186 (1990), p. 883-887.
C8. Symmetrization and Variational Problems. in: Symmetry and Dynamics.
Proc. of a Conf. in Heidelberg 1986, Ed.: B.Fiedler, A.Vanderbauwhede,
Preprint 400, SFB 123, Heidelberg (1987).
C7. Eine Beobachtung von Saint Venant zum Torsionsproblem. Zeitschr.
Angew. Math. Mech. 67 (1987), p. 762-764.
C6. Geometrical properties of level sets of solutions to elliptic
problems. In: Nonlinear Functional Analysis and Its Applications,
Proceedings of Symposia in Pure Mathematics, vol. 45, part 2, p. 25-36,
Amer. Math. Soc., Providence, R.I., 1986.
C5. When are superharmonic functions concave? Applications to the Saint
Venant torsion problem and to the fundamental mode of the clamped
membrane. Zeitschr. Angew. Math. Mech. 64 (1984), p. 364-366.
C4. mit Koautor R.Rühl: Periodic solutions of nonlinear heat
equations under discontinuous boundary conditions. In: Equadiff 82. Ed.:
H.W.Knobloch, K.Schmitt, Springer Lecture Notes in Math. 1017
(1983), p. 322-327.
C3. A singular perturbation approach to nonlinear elliptic boundary value
problems. In: Theory and Applications of Singular Perturbations. Ed.:
W.Eckhaus, E.M.de Jager, Springer Lecture
Notes in Math. 942 (1982), p. 65-71.
C2. On a nonlinear heat control problem with boundary conditions changing
in time. Zeitschrift Angew. Math. Mech. 61 (1981),
p. 248-249.
C1. Second order elliptic differential equations with nonlinear mixed
boundary conditions on polygonal domains. in: Free and Mixed Boundary
Value Problems, Ed.: R.Kress, N.Weck, Methoden und Verfahren der
Mathematischen Physik 18 (1979), p. 187-201.
Theses of B. Kawohl
HABILITATION: On rearrangements, symmetrizations and maximum principles. Erlangen, Oktober 1984, p.1-155. Gutachter: C.Bandle, J.Frehse,
H.Grabmüller.
DISSERTATION: Über nichtlineare gemischte Randwertprobleme für elliptische
Differentialgleichungen zweiter Ordnung auf Gebieten mit Ecken.
Darmstadt 1978, p.1-133. Gutachter: H.Grabmüller,
W.Jäger, W.Wendland.
DIPLOMARBEIT: Monotoniemethoden bei elliptischen Differentialgleichungen zweiter
Ordnung mit unilateralen Randbedingungen., 1977, p.1-90.
Gutachter: H.Grabmüller.
Technical reports and submitted papers
mit Koautoren G. Carlier, M. Comte, I. Ionescu, & E. Oudet: Hommage à Thomas (Necrologue of Thomas Lachand-Robert), Matapli, Soc. Math. Appl. Indust. 80 (2006), p. 17-24.
mit Koautor M. Mester: Mathematische Bildverarbeitung, in: Kooperative
Informationsverarbeitung an der Universität zu Köln, Bericht
für das Jahr 2003, p. 86--91.
Isoperimetrische Ungleichungen, in: Kooperative Informationsverarbeitung an der
Universität zu Köln, Bericht für das Jahr 2001, p. 81--85.
mit Koautor G. Sweers: Among all 2-dimensional convex domains the disk is not optimal for the lifetime of a conditioned Brownian motion - extended version. (2001), 85 p.
mit Koautor C.Bandle: Application de la symétrisation de Steiner aux problèmes de Poisson, Preprint 669, SFB 123, Heidelberg 1992.
mit Koautor J.I. Diaz: Convexity and Starshapedness of Level Sets for Some Nonlinear Parabolic Problems. Preprint 393, SFB 123, Heidelberg 1986.
mit Koautor H.Matano: Continuous equimeasurable rearrangement and application to variational problems, unveröffentlichtes Manuskript, 70 Seiten.
Convexity in the parabolic dead core problem, unveröffentlichtes Manuskript.
Über die Existenz schwacher Lösungen für quasilineare elliptische Systeme 2. Ordnung vom Variationstyp. Institutsbericht 063, Erlangen 1981.
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