|
86 |
T. Gerasimov, A. Stylianou and G. Sweers, Corners give problems with decoupling fourth
order equations into second order systems, submitted. |
|
85 |
G. Sweers, Green function estimates lead to Neumann function
estimates, in: Bandle, C.; Gilányi,
A.; Losonczi, L.; Plum, M. (Eds.) Inequalities and
Applications ’10, Springer-Basel, 2012. |
|
84 |
S. Nazarov, A. Stylianou and G. Sweers, Hinged and supported plates with corners, ZAMP
2012. (DOI: 10.1007/s00033-012-0195-y) |
|
83 |
S. Nazarov, A. Slutskij and G. Sweers, Homogenization of a thin plate reinforced with
periodic families of rigid rods, Sbornik: Mathematics 202:8 (2011), 1127–1168.
(DOI:
10.1070/SM2011v202n08ABEH004181) |
|
82 |
S. Nazarov, A. Stylianou and G. Sweers, On paradoxes in problems on bending polygonal
plates with ‘‘Hinged/Supported’’ edges, Doklady
Physics, Vol. 56, No. 8 (2011), 439–443. (DOI: 10.1134/S1028335811080027) |
|
81 |
O. Izotova, S. Nazarov and G. Sweers, Asymptotics of
solutions and modeling of the von Karman equations in a singularly perturbed
domain, Probl. Math. Anal. 54 (2011). Translated
in: Journal of Math. Sciences, Volume 173, Number 5, 571-608. (DOI: 10.1007/s10958-011-0261-6) |
|
80 |
S. Nazarov, A. Slutskij and G. Sweers, Korn
Inequalities for a Reinforced Plate, Journal of Elasticity (2010) (DOI: 10.1007/s10659-010-9289-y) |
|
79 |
H.-Ch. Grunau, F. Robert and G. Sweers,
Optimal estimates from below for biharmonic Green
functions, Proceedings AMS (2010) (DOI: 10.1090/S0002-9939-2010-10740-2) |
|
78 |
A. Stylianou and G. Sweers, Comparing
hinged and supported rectangular plates, Comptes
Rendus Mécanique 338
(2010), pp. 489-492 (DOI:
10.1016/j.crme.2010.08.002) |
|
77 |
A. Campbell,
S.A. Nazarov and G. Sweers,
Spectra
of two-dimensional models for thin plates with sharp edges, SIAM J. Math.
Anal. 42 (2010), pp. 3020-3044 (DOI: 10.1137/100788719) |
|
76 |
F. Gazzola, H.-Ch. Grunau and G. Sweers, Optimal Sobolev and Hardy-Rellich
constants under Navier boundary conditions, Ann.
Mat. Pura Appl., 189 (2010), 475-486. (DOI:
10.1007/s10231-009-0118-5) |
|
75 |
S.A. Nazarov, G. Sweers, A.S. Slutskii, The heat conductivity problem in a thin plate
with contrasting fiber inclusions, Vestnik St. Petersburg Univ. Math. 42 (2009), no 4,
pp. 284-292. (DOI: 10.3103/S1063454109040062) |
|
74 |
S.A. Nazarov, G. Sweers, A.S. Slutskii, Plate reinforcement with periodic families of
disconnected rigid rods, Dokl. Akad. Nauk 427 (2009), no 6, 776--780. (DOI:
10.1134/S1028335809080126) |
|
73 |
T. Gerasimov, G. Sweers, The
regularity for a clamped grid equation u xxxx
+ uyyyy = f in a domain with
a corner, Electronic J.D.E. Vol. 2009 (2009), No. 47, pp. 1-54. |
|
72 |
G. Sweers, A survey on boundary conditions for the biharmonic, Complex variables and elliptic equations,
(2009) 54:2, 79-93. (DOI:
10.1080/17476930802657640) |
|
71 |
A. |
|
70 |
M. Erven; G. Sweers, On the lifetime
of a conditioned Brownian motion on a fish bowl. Arch. Math. ( |
|
69 |
F. Gazzola; G. Sweers, On
positivity for the biharmonic operator under Steklov boundary conditions. Arch. Ration. Mech. Anal.
188 (2008), no. 3, 399-427. (DOI: 10.1007/s00205-007-0090-4) |
|
68 |
O.V. Izotova, S.A. Nazarov, G. Sweers, Asymptotically sharp weighted Korn´s
inequality for thin-walled elastic structures, Journal of Mathematical
Sciences, Vol. 150, no. 1, (2008). (DOI: 10.1007/s10958-008-0098-9) |
|
67 |
S.A. Nazarov and G. Sweers, Boundary
value problems for the bi-harmonic equation and the iterated Laplacian in a three-dimensional domain with an edge,
(Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel.
Mat. Inst. Steklov.
(POMI) 336 (2006), Kraev. Zadachi Mat. Fiz. I Smezh. Vopr. Teor. Funkts.
37, 153-198, 276-277; translation in J. Math. Sci. (N.Y.) 143 (2007), no. 2,
2936-2960. (DOI: 10.1007/s10958-007-0177-3) |
|
66 |
S.A. Nazarov, G. Sweers, A hinged
plate equation and iterated Dirichlet Laplace
operator on domains with concave corners, J. Differential Equations 233
(2007), no. 1, 151-180. (DOI:
10.1016/j.jde.2006.09.018) |
|
65 |
M. van
den Berg, A. Dall'Acqua, G. Sweers,
Estimates for the expected lifetime of conditioned Brownian motion. Proc.
Roy. Soc. Edinburgh Sect. A 137 (2007), no. 5, 1091-1099. (DOI: 10.1017/S0308210506000448) |
|
64 |
H.-Ch. Grunau, G. Sweers, Regions of
positivity for polyharmonic Green functions in
arbitrary domains, Proc. Amer. Math. Soc. 135 (2007), no. 11, 3537-3546. (DOI: 10.1090/S0002-9939-07-08851-X) |
|
63 |
B. Kawohl, G. Sweers, On the
differential equation uxxxx
+ uyyyy = f for an
anisotropic stiff material, SIAM J. Math. Anal. Vol. 37 (2006), no. 6, pp.
1828-1853. (DOI: 10.1137/050624704) |
|
62 |
O.V. Izotova, S.A. Nazarov, G.H. Sweers, Weighted Korn
inequalities for thin-walled elastic structures, C.R. Mecanique
334 (2006) 707-712. (DOI:
10.1016/j.crme.2006.10.002) |
|
61 |
A. Dall'Acqua, Ch. Meister, G. Sweers,
Separating positivity and regularity for
fourth order Dirichlet problems in 2d-domains,
Analysis (Munich) 25 (2005) , no. 3, 205-261. |
|
60 |
A. Dall'Acqua, G. Sweers, The clamped plate equation on the Limaçon, Annali di Matematica
Pura ed Applicata. (4) 184 (2005), no.3, 361-374.
(The original publication is available at springerlink.com, © Springer). |
|
59 |
Ph.
Clément, B. de Pagter, G. Sweers
and F. de Thélin, Existence of solutions to a semilinear elliptic system through Orlicz-Sobolev
spaces, Mediterranean Journal of Mathematics 1 (2004), 241-267. |
|
58 |
A. Dall'Acqua and G. Sweers, Estimates for Green function and Poisson
kernels of higher order Dirichlet boundary value
problems, J. Differential Equations 205 (2004), 466-487. |
|
57 |
A. Dall'Acqua and G. Sweers, On domains for which the clamped plate system
is positivity preserving. Partial Differential Equations and Inverse
Problems, ed. by Carlos Conca, Raul Manasevich, Gunter Uhlmann and
Michael Vogelius, AMS, 2004. |
|
56 |
R. Manasevich and G. Sweers, A comparison result for perturbed radial p-Laplacians, J.M.A.A. 291
(2004), 1-19. |
|
55 |
A. Dall'Acqua, H.-Ch. Grunau, G. Sweers, On a conditioned Brownian motion and a
maximum principle on the disk, Journal d'Analyse
Mathématique 93 (2004), 309-329. |
|
54 |
G. Sweers, W.C. Troy, On the bifurcation curve for an
elliptic system of FitzHugh- Nagumo
type, Physica D. 177 (2003), 1-22. |
|
53 |
C. Reinecke, G. Sweers, Solutions with internal jump for
an autonomous elliptic system of FitzHugh-Nagumo
type, Math. Nachr.
251
(2003), 64-87. |
|
52 |
G. Sweers, No Gidas-Ni-Nirenberg
type result for semilinear biharmonic
problems, Math. Nach. 246-247
(2002), 202-206. |
|
51 |
B. Kawohl, G. Sweers, Inheritance of symmetry for
positive solutions of semilinear elliptic boundary
value problems, Annales Inst. H.Poincaré 19 (2002), 705-714. |
|
50 |
B. Kawohl, G. Sweers, On 'anti'-eigenvalues for
elliptic systems and a question of McKenna and Walter, Indiana
U. Math. J. 51, (2002), 1023-1040. |
|
49b |
B. Kawohl, G. Sweers, Among all 2-dimensional convex domains the
disk is not optimal for the lifetime of a conditioned Brownian motion, -- the
extended version --, 86 pages (2002), (736 KB, only prints as image); for printing (1777
KB). |
|
49a |
B. Kawohl, G. Sweers, Among all
2-dimensional convex domains the disk is not optimal for the lifetime of a
conditioned Brownian motion, Journal d' Analyse Mathématique
86 (2002), 335-357. |
|
48 |
H.-Ch. Grunau, G. Sweers, Sharp estimates for iterated Green
functions, Proceedings of the Royal Society of Edinburgh 132A
(2002), 91-120. |
|
47 |
G. Sweers, When is the first eigenfunction for the clamped plate equation of fixed
sign? in Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 285-296. |
|
46 |
H.-Ch. Grunau, G. Sweers, Optimal conditions for
anti-maximum principles, Ann. Scuola
Norm. Sup. Pisa Cl. Sci.
(4) 30 (2001), 499-513. |
|
45 |
C.J. Reinecke, G. Sweers, Existence and uniqueness of solutions on bounded
domains to a FitzHugh- Nagumo
type elliptic system, Pacific J. Math. 197 (2001), 183-211. |
|
44 |
H.-Ch. Grunau, G. Sweers, Nonexistence of local minima of supersolutions for the circular clamped plate, Pacific
J. Math. 198 (2001), 437-442. |
|
43 |
Ph.
Clément, G. Sweers, Uniform anti-maximum principles
for polyharmonic equations, Proc. Amer. Math. Soc. 129 (2000), 467-474. |
|
42 |
Ph.
Clément, G. Sweers, Uniform anti-maximum principles, J.Differential Equations 164 (2000), 118-154. |
|
41 |
C.J. Reinecke, G. Sweers, A boundary layer solution to a semilinear elliptic system of FitzHugh-
Nagumo type, C.R.Acad.Sci.
|
|
40 |
H.-Ch. Grunau, G. Sweers, Sign change for the Green function and the
first eigenfunction of equations of clamped-plate
type, Archives Rat. Mech. Anal. 150 (1999), 179-190. (DOI: 10.1007/s002050050185) |
|
39 |
G. Sweers, E. Zuazua, On the non-existence of some special eigenfunctions for the Dirichlet
Laplacian and the Lamé
system, J. Elasticity 52 (1999), 111-120. |
|
38 |
C.J. Reinecke and G. Sweers, A positive solution on IRn to a system of elliptic equations of
Fitzhugh-Nagumo type, J.
Differential Equations 153 (1999), 292-312. |
|
37 |
I. Birindelli, E. Mitidieri and G.
Sweers, Existence of the principal eigenfunction for cooperative elliptic systems in a
general domain, Differentsial'nye Uravneniya 35, N3, (1999) (in Russian). (translation in Differential Equations 35, 3
(1999), 326-334, or the original english
manuscript, 23pp.) |
|
36 |
P. Freitas, G. Sweers, Positivity results for a nonlocal
elliptic equation, Proceedings of the Royal Society of Edinburgh 128A
(1998), 697-715. |
|
35 |
H.-Ch. Grunau and G. Sweers, The role of positive boundary data
in the generalized clamped plate equation, ZAMP 49 (1998), 420-435. |
|
34 |
Shuanhu Li and Guido Sweers,
Closed-form solution for a moving boundary problem, Tsinghua Science and
Technology 3 (1998), 1233-1235,1239. |
|
33 |
H.-Ch. Grunau, G. Sweers, Positivity properties of elliptic boundary
value problems of higher order, Nonlinear Analysis, T.M.A. 30
(1997), 5251-5258 (Proc. 2nd World Congress of Nonlinear Analysts). |
|
32 |
H.-Ch. Grunau, G. Sweers, The maximum principle and positive
principal eigenfunctions for polyharmonic
equations, in Reaction Diffusion systems, Marcel Dekker Inc.,
New York 1997, p 163-182. |
|
31 |
G. Sweers, Hopf's lemma and two-dimensional domains
with corners, Rend. Ist. Mat. Trieste. Suppl. Vol. XXVIII (1997),
383-419. |
|
30 |
G. Sweers, LN is sharp for the antimaximum principle, J. Differential Equations 134
(1997), 148-153. |
|
29 |
N. Stavrakakis, G. Sweers, Positivity for a noncooperative system of elliptic equations in IRn, Advances in Differential
Equations 4 (1999), 115-136. |
|
28 |
R. Manásevich, G. Sweers, A noncooperative
system with p-Laplacians that preserves positivity,
Nonlinear Analysis 36, (1999), 511-528. |
|
27 |
H.-Ch. Grunau, G. Sweers, Classical solutions for some
higher order semilinear elliptic equations under
weak growth conditions, Nonlinear Analysis, T.M.A. 28 (1997),
799-807. |
|
26 |
H.-Ch. Grunau, G. Sweers, Positivity for equations involving
polyharmonic elliptic operators with Dirichlet boundary conditions, Math. Ann. 307 (1997),
589-626. |
|
25 |
H.-Ch. Grunau, G. Sweers, Positivity for perturbations of polyharmonic operators with Dirichlet
boundary conditions in two dimensions, Math. Nachr.
179 (1996), 89-102. |
|
24 |
Ph.
Clément, R. Hagmeijer, G. Sweers,
On the invertibility
of mappings arising in 2D grid generation problems, Numer. Math. 73
(1996), 37-51. |
|
23 |
Ph.
Clément, R. Hagmeijer, G. Sweers,
On a Dirichlet
problem related to the invertibility of mappings
arising in 2D grid generation problems, in 'Calculus of variations,
applications and computations, Pont-à-Mousson
(1994), (ed. C. Bandle, J. Bemelmans, and M. Chipot) Pitman Research Notes in Math. 326, Longman,
Harlow (1995), p. 67-83. |
|
22 |
E. Mitidieri, G. Sweers, R.C.A.M.
van der Vorst, Non existence theorems for systems of quasilinear partial differential equations,
Differential and Integral Equations 8 (1995), 1331-1354. |
|
21 |
E. Mitidieri, G. Sweers, Weakly coupled systems and
positivity, Math. Nachrichten
173 (1995), 259-286. |
|
20 |
G. Sweers, A noncooperative
mixed parabolic-elliptic system and positivity, Rend. Ist. Mat. Trieste
26 (1994), 361-375. |
|
19 |
E. Mitidieri, G. Sweers, Existence of a maximal solution for quasimonotone elliptic systems,
Differential and Integral Equations 7 (1994), 1495-1510. |
|
18 |
W. Caspers, G. Sweers, Point
interactions on bounded domains, Proceedings of the Royal Society of
Edinburgh 124A (1994), 917-926. |
|
17 |
G. Sweers, Positivity for a strongly coupled elliptic
system by Green function estimates, Journal of Geometric Analysis. 4 (1994), 121-142. |
|
16 |
G. Sweers, On examples to a conjecture of De Saint Venant, Nonlinear Analysis T.M.A. 18 (1992), 889-891. |
|
15 |
G. Sweers, Strong positivity in C(Omega)
for elliptic systems, Math. Zeitschrift 209 (1992), 251-271. |
|
14 |
G. Sweers, A sign-changing global minimizer on a convex
domain, in Progress in Partial Differential Equations: Elliptic and Parabolic
Problems, ed. C. Bandle e.a.,
Pitman Research Notes in Math. 266, Longman, Harlow (1992), 251-258. |
|
13 |
B. Kawohl, G. Sweers, On quasiconvexity, rank-one convexity and symmetry, Delft
Progress Report 14 (1990), 251-263. |
|
12 |
E.N.
Dancer, G. Sweers, On the existence of a maximal weak solution
for a semilinear elliptic equation,
Differential and Integral Equations 2 (1989), 533-540. supplement |
|
11 |
Ph.
Clément, G. Sweers, On subsolutions to
a semilinear elliptic problem, in
Recent advances in nonlinear elliptic and parabolic problems, ed. P. Bénilan e.a., Pitman Research
Notes in Math. 208, Longman, Harlow 1989, 267-273. |
|
10 |
G. Sweers, Estimates for elliptic singular perturbations in
L-p -type spaces, Asymptotic Analysis 2 (1989), 101-138. |
|
9 |
G. Sweers, Semilinear elliptic problems on domains with
corners, Commun. in
Partial Differential Equations 14 (1989), 1229-1247. |
|
8 |
G. Sweers, A strong maximum principle for a noncooperative elliptic system, SIAM Journal Math. Anal. 20 (1989), 367-371. |
|
7 |
G. Sweers, A counterexample with convex domain to a
conjecture of De Saint Venant, Journal of
Elasticity 22 (1989), 57-61. |
|
6 |
G. Sweers, On the maximum of solutions for a semilinear elliptic problem, Proceedings of the Royal
Society of Edinburgh, 108A (1988), 357-370. |
|
5 |
B. Kawohl, G. Sweers, Remarks on
eigenvalues and eigenfunctions of a special
elliptic system, Journal of Appl. Math.
Ph. (ZAMP) 38 (1987), 730-740. |
|
4 |
Ph.
Clément, G. Sweers, Getting a solution between sub- and supersolutions without monotone iteration, Rendiconti dell'Istituto di Matematica dell'Università |
|
3 |
G. Sweers, Some results for a semilinear
elliptic problem with a large parameter, Proceedings ICIAM 87, Contributions
from the Netherlands, Paris La-Villette, (1987). |
|
2 |
Ph.
Clément, G. Sweers, Existence and multiplicity
results for a semilinear elliptic eigenvalue problem,
Annali della Scuola Normale Superiore di |
|
1 |
Ph.
Clément, G. Sweers, Existence et multiplicité des solutions d'un problème
aux valeurs propres elliptique semilinéaires, C.R. Acad Sc. Paris 302, Série I, 19 (1986), 682-683. |
|
|
|
|
II |
Filippo Gazzola,
Hans-Christoph Grunau,
Guido Sweers, Polyharmonic
boundary value problems, Springer Lecture Notes Series 1991 (2010). (DOI:
10.1007/978-3-642-12245-3) |
|
I |
Partial
differential equations and functional analysis. The Phillippe
Clément Festschrift. Papers from the workshop held in Delft, November 29–December
1, 2004. Edited by Erik Koelink, Jan van Neerven, Ben de Pagter and
Guido Sweers. Operator Theory: Advances and
Applications, 168. Birkhäuser Verlag, Basel, 2006. ISBN 978-3-7643-7600-0 (DOI: 10.1007/3-7643-7601-5) |
|
|
|
|
A |
G. Sweers, Complexe functies, gewone en partiële differentiaalvergelijkingen,
Delft University Press, 1998, ISBN 90-407-1681-1.
errata |
|
B |
G. Sweers, Dictaat Complexe
Functies (in Dutch) |
|
C |
G. Sweers, Lecture Notes on Maximum
Principles, december 2000 |
|
D |
G. Sweers, Lecture Notes on Differential Equations
of Mathematical Physics (1.5Mb), Corso Estivo di Mathematica, |
|
|
Lecture
notes, mostly in German, on Analysis etc. can be found on this site. |