Gradient maximum principle for minima

DOI10.1023/A:1013052830852zbMath1019.49029OpenAlexW1553399223MaRDI QIDQ5959906

Giulia Treu, Carlo Mariconda

Publication date: 11 April 2002

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013052830852

zbMATH Keywords

comparison principleintegral functionalmaximumgradient maximum principleLipschitz regularity

Mathematics Subject Classification ID

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

Related Items (13)

Hölder continuity of solutions to a basic problem in the calculus of variations ⋮ On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition ⋮ Unnamed Item ⋮ The regularity of some vector-valued variational inequalities with gradient constraints ⋮ Lipschitz regularity for minima without strict convexity of the Lagrangian ⋮ Local Lipschitz continuity of solutions to a problem in the calculus of variations ⋮ Existence and Lipschitz regularity for minima ⋮ LOCAL LIPSCHITZ REGULARITY OF MINIMA FOR A SCALAR PROBLEM OF THE CALCULUS OF VARIATIONS ⋮ Lipschitzian continuity of solutions for a problem in the calculus of variations ⋮ Stable minimizers of functionals of the gradient ⋮ Hölder regularity for a classical problem of the calculus of variations ⋮ Boundary continuity of solutions to a basic problem in the calculus of variations ⋮ Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality

Cites Work

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• Unnamed Item
• On the regularity of the minima of variational integrals
• On the equivalence of two variational problems
• Elliptic partial differential equations of second order
• On some non-linear elliptic differential functional equations
• Equivalence de deux inéquations variationnelles et applications
• Existence and Lipschitz regularity for minima
• On the strong maximum principle
• Weakly Differentiable Functions
• A comparison principle for minimizers
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation

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