Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth

DOI10.1007/s00526-006-0059-4zbMath1112.49020OpenAlexW2000648270MaRDI QIDQ873145

Carlo Mariconda, Giulia Treu

Publication date: 28 March 2007

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0059-4

zbMATH Keywords

growth conditionnon-convexityLipschitzianity of the minima

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for problems involving ordinary differential equations (49K15)

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Cites Work

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• Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
• Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations
• The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of solutions