Régularité de la solution d'un problème variationnel. (Regularity of the solution of a variational problem)

DOI10.1016/S0294-1449(16)30251-7zbMath0757.49015MaRDI QIDQ1185269

Rabah Tahraoui

Publication date: 28 June 1992

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_1_51_0

zbMATH Keywords

nonconvex variational problemsregularity of variational problems

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Methods involving semicontinuity and convergence; relaxation (49J45) Boundary value problems on manifolds (58J32) Theory of constitutive functions in solid mechanics (74A20)

Related Items (2)

The lack of lower semicontinuity and nonexistence of minimizers ⋮ Régularité de la solution d'un problème variationnel. (Regularity of the solution of a variational problem)

Cites Work

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• Existence theorems for non convex problems
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions
• Discontinuites de champs hamiltoniens et existence de solutions optimales en calcul des variations
• The elastica and the problem of the pure bending for a non-convex stored energy function
• Régularité de la solution d'un problème variationnel. (Regularity of the solution of a variational problem)
• Equilibrium of bars
• Convexity conditions and existence theorems in nonlinear elasticity
• Théoremes d'existence pour des problèmes du calcul des variations du type: \(\text{Inf}\int^L_0f(x,u'(x))dx\) et \(\text{Inf} \int^L_0f(x,u(x),u'(x))dx\).
• On some non-linear elliptic differential functional equations
• Strong convergence results related to strict convexity
• Théorémes d'existence en optimisation non convexe
• Théorème d'existence pour des problèmes variationnels non convexes
• On finite anti-plane shear for imcompressible elastic materials
• Théorèmes d'existence en calcul des variations et applications à l'élasticité non linéaire
• On some regular multiple integral problems in the calculus of variations

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