Existence results for non-coercive variational problems

1994/11/03 by Graziano Crasta, Crasta, Graziano, Annalisa Malusa +1
Computer Science · Mathematics · #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #funct-an #math.FA

paper · pdf · doi:10.48550/arxiv.funct-an/9411002

17 pages, plain TeX, no figures

openalex publication_date 1994/11/03 · arxiv created 1994/11/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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