Hölder regularity for a classical problem of the calculus of variations

DOI10.1515/ACV.2009.012zbMath1178.49047MaRDI QIDQ3644361

Carlo Mariconda, Giulia Treu

Publication date: 4 November 2009

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

comparison principleLipschitz continuityHölder regularityconvex

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60)

Related Items (10)

Global continuity of variational solutions weakening the one-sided bounded slope condition ⋮ An evolutionary Haar-Rado type theorem ⋮ Hölder continuity of solutions to a basic problem in the calculus of variations ⋮ Parabolic equations and the bounded slope condition ⋮ Continuity properties of solutions to some degenerate elliptic equations ⋮ Continuity of solutions of a problem in the calculus of variations ⋮ The lack of strict convexity and the validity of the comparison principle for a simple class of minimizers ⋮ Boundary continuity of solutions to a basic problem in the calculus of variations ⋮ Lipschitz minimizers for a class of integral functionals under the bounded slope condition ⋮ A Haar-Rado type theorem for minimizers in Sobolev spaces

Cites Work

• Growth conditions and regularity. A counterexample
• On the regularity of the minima of variational integrals
• Simplified excision techniques for free discontinuity problems in several variables
• On the equivalence of two variational problems
• Lipschitz regularity for minima without strict convexity of the Lagrangian
• Existence and Lipschitz regularity for minima
• Boundary continuity of solutions to a basic problem in the calculus of variations
• LOCAL LIPSCHITZ REGULARITY OF MINIMA FOR A SCALAR PROBLEM OF THE CALCULUS OF VARIATIONS
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
• Gradient maximum principle for minima

This page was built for publication: Hölder regularity for a classical problem of the calculus of variations