A relaxation result for autonomous integral functionals with discontinuous non-coercive integrand

DOI10.1051/COCV:2004004zbMath1072.49012OpenAlexW2112933235MaRDI QIDQ5465546

Carlo Mariconda, Giulia Treu

Publication date: 9 August 2005

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2004__10_2_201_0

zbMATH Keywords

regularityrelaxationintegral functionalLipschitzdiscontinuous integrandnon-coercivity

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Lipschitz regularity for minima without strict convexity of the Lagrangian ⋮ Relaxation and regularity in the calculus of variations

Cites Work

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• Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
• Lipschitz regularity of the minimizers of autonomous integral functionals with discontinuous non-convex integrands of slow growth
• Autonomous integral functionals with discontinuous nonconvex integrands: Lipschitz regularity of minimizers, BuBois-Reymond necessary conditions, and Hamilton-Jacobi equations
• Integral representation of functionals defined on curves ofW^1,p
• The classical problem of the calculus of variations in the autonomous case: Relaxation and Lipschitzianity of solutions

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