On minima of radially symmetric functionals of the gradient

DOI10.1016/0362-546X(94)90045-0zbMath0819.49013OpenAlexW2088152114MaRDI QIDQ4312087

Arrigo Cellina, Stefania Perrotta

Publication date: 27 July 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90045-0

zbMATH Keywords

lower semicontinuityminimum problemnormal integrandradially symmetric functional

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45)

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The existence of solutions to variational problems of slow growth, Minimizing a functional depending on \(\nabla u\) and on \(u\), Some problems in the calculus of variations, Radially increasing minimizing surfaces or deformations under pointwise constraints on positions and gradients, On a class of nonconvex noncoercive Bolza problems with constraints on the derivatives, Existence and symmetry of minimizers for nonconvex radially symmetric variational problems, Minima in elliptic variational problems without convexity assumptions, A correction to the paper ``On minima of radially symmetric functionals of the gradient, Nonconvex minimization problems for functionals defined on vector valued functions, On radially symmetric minima of nonconvex functionals, Geometric constraints on the domain for a class of minimum problems, Existence and regularity of minimizers of nonconvex functionals depending on \(u\) and \(\nabla u\), Non-coercive radially symmetric variational problems: existence, symmetry and convexity of minimizers, Variational problems for a class of functionals on convex domains

Cites Work

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• A nonconvex variational problem related to change of phase
• Existence and uniqueness results for minimization problems with nonconvex functionals
• Change of variables for absolutely continuous functions
• Optimal design and relaxation of variational problems, III
• Sur une Classe de Fonctionnelles non Convexes et Applications
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