Linking theorems for multivalued functionals and application to partial differential inclusions
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Songo, Ablanvi, Colin, Fabrice
Institutions: Université de Sherbrooke, Laurentian University
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171461684
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