Linking theorems for multivalued functionals and application to partial differential inclusions

Ablanvi Songo; Fabrice Colin

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arXiv · 2607.22506

Linking theorems for multivalued functionals and application to partial differential inclusions

Ablanvi Songo·Fabrice Colin

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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.

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Ablanvi Songo, Fabrice Colin. 2026-07-24. Linking theorems for multivalued functionals and application to partial differential inclusions. https://arxiv.org/abs/2607.22506

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