Nonlocal variational principles

DOI10.1016/S0362-546X(96)00185-XzbMath0918.49013MaRDI QIDQ4379696

Pablo Pedregal

Publication date: 24 August 1999

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

zbMATH Keywords

Young measuresrelaxationintegral functionalvectorial variational problems

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)

Related Items

Weak lower semicontinuity and relaxation for a class of non-local functionals, Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals, Γ-limit of the cut functional on dense graph sequences, A sufficient condition for the lower semicontinuity of nonlocal supremal functionals in the vectorial case, Lower Semicontinuity and Relaxation Via Young Measures for Nonlocal Variational Problems and Applications to Peridynamics, COMPOSITION FUNCTIONALS IN CALCULUS OF VARIATIONS: APPLICATION TO PRODUCTS AND QUOTIENTS, Locally compact multivector extensions., Limits of inner superposition operators and Young measures, Loss of Double-Integral Character During Relaxation, Relaxation of a scalar nonlocal variational problem with a double-well potential, Nonlocal variational principles with variable growth, The method of moments for some one-dimensional, non-local, non-convex variational problems, On non-locality in the calculus of variations, Characterisation of the weak lower semicontinuity for a type of nonlocal integral functional: the \(n\)-dimensional scalar case, Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals, Optimization, relaxation and Young measures

Cites Work

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