The lack of strict convexity and the validity of the comparison principle for a simple class of minimizers

DOI10.1016/j.na.2010.03.033zbMath1205.49030OpenAlexW2067781804MaRDI QIDQ984053

Carlo Mariconda

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.033

zbMATH Keywords

comparison principlestrict convexity

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52)

Related Items (1)

Continuity properties of solutions to some degenerate elliptic equations

Cites Work

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• LOCAL LIPSCHITZ REGULARITY OF MINIMA FOR A SCALAR PROBLEM OF THE CALCULUS OF VARIATIONS
• Hölder regularity for a classical problem of the calculus of variations
• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation
• On minima of a functional of the gradient: sufficient conditions
• Comparison Results and Estimates on the Gradient without Strict Convexity

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