Théorème d'existence pour des problèmes variationnels non convexes

DOI10.1017/S0308210500029346zbMath0628.49006MaRDI QIDQ3764773

Jean-Pierre Raymond

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonconvex minimizationregularized functionalLipschitzian solutionsbipolar

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (9)

An anti-plane shear problem ⋮ Existence of minimizers for non-quasiconvex integrals ⋮ A necessary and sufficient condition for nonattainment and formation of microstructure almost everywhere in scalar variational problems ⋮ Existence of minimizers for vector problems without quasiconvexity condition ⋮ Existence and symmetry of minimizers for nonconvex radially symmetric variational problems ⋮ Régularité de la solution d'un problème variationnel. (Regularity of the solution of a variational problem) ⋮ The minimum problem for one-dimensional non-semicontinuous functionals ⋮ Théorèmes de régularité locale pour des systèmes elliptiques dégénérés et des problèmes non différentiables ⋮ Sur une équation quasilinéaire d'ordre 2 non elliptique. (On a quasilinear nonelliptic equation of second order)

Cites Work

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• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• On the anti-plane shear problem in finite elasticity
• Convexity conditions and existence theorems in nonlinear elasticity
• Théorémes d'existence en optimisation non convexe
• On some regular multiple integral problems in the calculus of variations

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