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(as of 2015/02/26)
Preprints and articles
- with C. Kreisbeck:
Heterogeneous thin films: Combining homogenization and dimension reduction with directors.
Preprint arXiv:1502.07139, 2015
- with B. Benešová and M. Kružík :
Boundary effects and weak* lower semicontinuity for signed integral functionals on BV.
Accepted for publication in
ESAIM:COCV. Preprint arXiv:1405.0449, 2014
- with J. Krämer, M. Kružík and G. Pathó:
A-quasiconvexity and weak lower semicontinuity of integral functionals.
Preprint arXiv:1401.6358, 2014
- with B. Kawohl and J. Kurtz:
Radial eigenfunctions for the game-theoretic p-laplacian on a ball.
Differential and Integral Equations, 27(7-8):659-670, 2014. Preprint version
here.
- with A. Kałamajska and M. Kružík:
Sequential weak continuity of null Lagrangians at the boundary
Calc. Var. PDEs 49(3-4):1263-1278, 2014.
Preprint version: arXiv:1210.1454.
- with M. Kružík:
Oscillations and concentrations in sequences of gradients up to the boundary
Journal of Convex Analysis, 20(3):723–752, 2013.
Preprint version: arXiv:1109.3020.
- with B. Kawohl:
Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential
Adv. Calc. Var., 5(4):427–432, 2012. Preprint version: here.
- with H. Hajaiej:
A weak-strong convergence property and symmetry of minimizers of constrained variational problems in RN
JMAA 389(2):915–931, 2012.
- Dimension reduction for functionals on solenoidal vector fields
Control Optim. Calc. Var., 18(1):259–276, 2012.
- with I. Fonseca:
Multiple Integrals Under Differential Constraints: Two-Scale Convergence and Homogenization
Indiana Univ. Math. J. 59, 427-458 (2010)
- On the role of lower bounds in characterizations of weak lower semicontinuity of multiple integrals
Advances in Calculus of Variations 3(4), 387–408 (2010).
- On Compactness of Minimizing Sequences Subject to a Linear Differential Constraint
Zeitschrift für Analysis und ihre Anwendungen 30(3), 269–303 (2011). Preprint version: 09-CNA-005
- Necessary conditions for weak lower semicontinuity on domains with infinite measure
ESAIM:COCV 16(2), 457-471 (2010).
- A priori estimates in L∞ for non-diagonal perturbed quasilinear systems
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (5), Vol. VIII, 417-428 (2009)
- with M. Lilli:
On properness and related properties of quasilinear systems on unbounded domains
Math. Nachr. 284(8-9), 1048-1082 (2011)
- with T. J. Healey:
Injective Weak Solutions in Second-Gradient Nonlinear Elasticity
ESAIM:COCV 15, 863–871 (2009)
- Existence and symmetry of minimizers for nonconvex radially symmetric variational problems
Calc. Var. Partial Differ. Equ. 32(2), 219-236 (2008)
- with H. Kielhöfer:
Radially symmetric critical points of non-convex functionals
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Volume 138(6), 1261-1280 (2008)
- with M. Lilli:
Branches of positive solutions of quasilinear elliptic equations on
non--smooth domains.
Nonlinear Anal., Theory Methods Appl. 64(10), 2183-2202 (2006)
- with H. Kielhöfer and T.J. Healey:
Bifurcation with a two-dimensional kernel.
J. Differential Equations 220(1), 234-258 (2006)
Theses
- Compactness in Sobolev spaces, related problems and applications.
Cumulative habilitation thesis containing the articles 8–16, Universität zu Köln (2012).
- Nonconvex radially symmetric variational problems, PhD Thesis, Universität Augsburg (2005).
- Symmetriebrechung bei Variationsproblemen, Diploma Thesis, Universität Augsburg (2002).
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