Existence of Minimizers for Nonconvex, Noncoercive Simple Integrals

DOI10.1137/S0363012901387999zbMath1021.49011MaRDI QIDQ4785675

Stefania Perrotta, Pietro Celada

Publication date: 5 January 2003

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

zbMATH Keywords

existence of solutionssimple integralsnonconvex and noncoercive minimum problem

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (6)

Necessary and sufficient conditions for optimality of nonconvex, noncoercive autonomous variational problems with constraints ⋮ Existence and symmetry of minimizers for nonconvex radially symmetric 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 ⋮ Monotonicity properties of minimizers and relaxation for autonomous variational problems ⋮ Coercivity of integral functionals with non-everywhere superlinear Lagrangians

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