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.
NON-CONVEX MINIMIZATION PROBLEMS FOR FUNCTIONALS DEFINED ON VECTOR VALUED FUNCTIONS / Crasta, Graziano; Malusa, Annalisa. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 254:(2001), pp. 538-557. [10.1006/jmaa.2000.7227]
NON-CONVEX MINIMIZATION PROBLEMS FOR FUNCTIONALS DEFINED ON VECTOR VALUED FUNCTIONS
CRASTA, Graziano;MALUSA, ANNALISA
2001
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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