Linking theorems for multivalued functionals and application to partial differential inclusions
Analysis of PDEs
2026-07-24 v1 Functional Analysis
Abstract
Using the framework of critical point theory for multivalued functionals developed in \cite{Fri}, we establish some linking theorems for such functionals, which generalizes \cite[Theorem 2.11]{Wi}, \cite[Theorem 2.12]{Wi} and \cite[Theorem 2.12]{Fri}. The proofs of our abstract results rely on a general minimax principle for multivalued mappings. As an application, we obtain a nontrivial solution of a semilinear Dirichlet boundary value problem for partial differential inclusions.
Cite
@article{arxiv.2607.22506,
title = {Linking theorems for multivalued functionals and application to partial differential inclusions},
author = {Ablanvi Songo and Fabrice Colin},
journal= {arXiv preprint arXiv:2607.22506},
year = {2026}
}