On the symmetry of minimizers in constrained quasi-linear problems
DOI10.1515/ACV.2011.004zbMath1226.49003arXiv1003.1389MaRDI QIDQ3098010
Publication date: 11 November 2011
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.1389
Energy minimization in equilibrium problems in solid mechanics (74G65) Variational methods applied to PDEs (35A15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Quasilinear elliptic equations (35J62) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
- On the symmetry of minimizers
- Symmetry and related properties via the maximum principle
- Symmetry or not?
- Minimal rearrangements of Sobolev functions: A new proof.
- Positivity and radial symmetry of solutions to some variational problems in \(\mathbb R^N\)
- Radial symmetry of minimizers for some translation and rotation invariant functionals
- Euler equations involving nonlinearities without growth conditions
- Strong convergence results related to strict convexity
- Nonsymmetric ground states of symmetric variational problems
- Almost everywhere convergence of gradients of solutions to nonlinear elliptic systems
- Symmetrization Inequalities for Composition Operators of Carathéodory type
- Subdifferential Calculus and Nonsmooth Critical Point Theory
- An approach to symmetrization via polarization
- Cases of equality and strict inequality in the extended Hardy–Littlewood inequalities
- Universal approximation of symmetrizations by polarizations
- SYMMETRIZATION AND MINIMAX PRINCIPLES
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