Partial regularity for minimizers of variational integrals with discontinuous integrands

DOI10.1016/S0294-1449(16)30104-4zbMath0863.35022OpenAlexW2510599147MaRDI QIDQ1814666

Christoph Hamburger

Publication date: 12 December 1996

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1996__13_3_255_0

zbMATH Keywords

quasiconvexitystrict convexitydiscontinuous integrand

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Variational methods for elliptic systems (35J50)

Related Items

Nonlinear potential theory of elliptic systems, A new partial regularity proof for solutions of nonlinear elliptic systems, Regularity of minima: an invitation to the dark side of the calculus of variations., Optimal partial regularity of minimizers of quasiconvex variational integrals, The singular set of minima of integral functionals

Cites Work

• Differentiability of minima of non-differentiable functionals
• \(C^{1,\alpha}\) partial regularity of functions minimising quasiconvex integrals
• Partial regularity of minimizers of quasiconvex integrals
• Quasiconvexity and partial regularity in the calculus of variations
• A regularity theorem for minimizers of quasiconvex integrals
• Existence and partial regularity in the calculus of variations
• On the regularity of the minima of variational integrals
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Some remarks concerning quasiconvexity and strong convergence
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