Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints

DOI10.1090/S0002-9947-08-04514-5zbMath1148.49025MaRDI QIDQ3533830

Cristina Marcelli

Publication date: 24 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonsmooth analysisnoncoercive problemsnonconvex problemsnecessary and sufficient conditionsconstrained variational problemsDuBois-Reymond conditionautonomous Lagrangians

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items

Necessary conditions and non-existence results for autonomous nonconvex variational problems, 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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