Explicit examples of Lipschitz, one-homogeneous solutions of \(\log\)-singular planar elliptic systems
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Publication:495258
DOI10.1016/j.na.2015.06.012zbMath1348.49007arXiv1409.5316OpenAlexW2161146936MaRDI QIDQ495258
Publication date: 9 September 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5316
Variational methods applied to PDEs (35A15) Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)
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Cites Work
- Multiple integrals in the calculus of variations
- On the symmetry of energy-minimising deformations in nonlinear elasticity. II: Compressible materials
- On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials
- Quasiconvexity and uniqueness of equilibrium solutions in nonlinear elasticity
- Regularity properties of deformations with finite energy
- Convex integration for Lipschitz mappings and counterexamples to regularity
- A singular minimizer of a smooth strongly convex functional in three dimensions
- On one-homogeneous solutions to elliptic systems in two dimensions
- The regularity of critical points of polyconvex functionals
- An existence theory for nonlinear elasticity that allows for cavitation
- Compensated compactness and Hardy spaces
- \(H^p\) spaces of several variables
- On one-homogeneous solutions to elliptic systems with spatial variable dependence in two dimensions
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Weakly Differentiable Functions
- Non-Lipschitz minimizers of smooth uniformly convex functionals
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