A generalization of the Ekeland variational principle

2020/06/22 by Fabio Botelho, Fabio Silva Botelho, Botelho, Fabio Silva
Engineering · Mathematics · #49K27 #Elasticity and Material Modeling #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Homotopy and Cohomology in Algebraic Topology #math.FA #msc:49K27

paper · pdf · doi:10.48550/arxiv.2006.13042

5 pages

arxiv created 2020/06/22 · openalex publication_date 2020/06/22 · arxiv updated 2020/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short communication, we present a generalization of the Ekeland variational principle. The main result is established through standard tools of functional analysis and calculus of variations. The novelty here is a result involving the second Gâteaux variation of the functional in question.

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