The aim of this paper is to give an existence result for a class of one dimensional, non--convex, non--coercive problems in the Calculus of Variations. The main tools for the proof are an existence theorem in the convex case and the closure of the convex hull of the epigraph of functions strictly convex at infinity.
Existence results for non-coercive variational problems / Crasta, Graziano; Malusa, Annalisa. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - 34:(1996), pp. 2064-2076. [10.1137/S0363012994278201]
Existence results for non-coercive variational problems
CRASTA, Graziano;MALUSA, ANNALISA
1996
Abstract
The aim of this paper is to give an existence result for a class of one dimensional, non--convex, non--coercive problems in the Calculus of Variations. The main tools for the proof are an existence theorem in the convex case and the closure of the convex hull of the epigraph of functions strictly convex at infinity.File allegati a questo prodotto
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