Minimizers for nonconvex variational problems in the plane via convex/concave rearrangements

DOI10.1016/j.jmaa.2017.01.097zbMath1361.49006OpenAlexW2588005902MaRDI QIDQ517943

Dean A. Carlson

Publication date: 28 March 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.01.097

zbMATH Keywords

existencecalculus of variationsconvex/concave rearrangements

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (2)

Higher-order compact embeddings of function spaces on Carnot-Carathéodory spaces ⋮ Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers

Cites Work

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• On the Lavrentiev phenomenon
• A note on approximation of optimal solutions of free problems of the calculus of variations
• Property (D) and the Lavrentiev phenomenon
• Minimization of non-coercive integrals by means of convex rearrangement
• Some Existence Theorems in the Calculus of Variations I. The Dresden Corner Condition
• Some Existence Theorems in the Calculus of Variations II. Existence Theorems For Isoperimetric Problems in the Plane
• Some Existence Theorems in the Calculus of Variations III. Existence Theorems for Nonregular Problems
• Some Existence Theorems in the Calculus of Variations IV. Isoperimetric Problems in Non-Parametric Form

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