Variational Problems with Nonconvex, Noncoercive, Highly Discontinuous Integrands: Characterization and Existence of Minimizers

DOI10.1137/S036301299936141XzbMath1030.49022MaRDI QIDQ4537796

Cristina Marcelli

Publication date: 23 June 2002

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

zbMATH Keywords

nonconvex variational problems\(\Gamma\)-convergenceinterface problems

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for free problems in one independent variable (49J05) Optimality conditions for free problems in one independent variable (49K05)

Related Items (7)

A hydrothermal problem with non-smooth Lagrangian ⋮ Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints ⋮ Existence of minimizers of free autonomous variational problems via solvability of constrained ones ⋮ Another theorem of classical solvability `in small' for one-dimensional variational problems ⋮ Constrained nonsmooth problems of the calculus of variations ⋮ Monotonicity properties of minimizers and relaxation for autonomous variational problems ⋮ Coercivity of integral functionals with non-everywhere superlinear Lagrangians

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