Non-differentiable functionals and singular sets of minima

DOI10.1016/j.crma.2004.11.019zbMath1058.49012OpenAlexW1993952886WikidataQ58880894 ScholiaQ58880894MaRDI QIDQ1763536

Jan Kristensen, Giuseppe Mingione

Publication date: 22 February 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.11.019

zbMATH Keywords

regularityintegral functionalsminimizersHausdorff dimension

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational methods for second-order elliptic equations (35J20)

Related Items (8)

The regularity of minima for the Dirichlet problem on BD ⋮ Quasiconvex variational functionals in Orlicz-Sobolev spaces ⋮ Regularity of minima: an invitation to the dark side of the calculus of variations. ⋮ The singular set of minima of integral functionals ⋮ Boundary regularity in variational problems ⋮ A regularity result for a convex functional and bounds for the singular set ⋮ Boundary regularity of minima ⋮ A note on the Hausdorff dimension of the singular set of solutions to elasticity type systems

Cites Work

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• On the regularity of the minima of variational integrals
• Regularity for minimizers of non-quadratic functionals: The case \(1<p<2\)
• Everywhere discontinuous harmonic maps into spheres
• Bounds for the singular set of solutions to non linear elliptic systems
• The singular set of solutions to non-differentiable elliptic systems
• The singular set of minima of integral functionals
• Analytical foundations of the theory of quasiconformal mappings in R^n
• Non-Lipschitz minimizers of smooth uniformly convex functionals

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