An existence result for non-coercive non-convex problems

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

paper · pdf · doi:10.48550/arxiv.funct-an/9411003

10 pages, plain TeX, no figures

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

Abstract

We consider a class of one--dimensional non--convex non--coercive problems in the Calculus of Variations. We prove an existence result for this class of problems using a Liapunov type theorem on the range of non--atomic measures.

Related

• Existence results for non-coercive variational problems
• A duality theory for non-convex problems in the Calculus of Variations
• A Class of Quasi-Variational Inequalities with Unbounded Constraint Maps: Existence Results and Applications
• A conjecture implying the existence of non-convex Chebyshev sets in infinite-dimensional Hilbert spaces
• On non-locality in the Calculus of Variations