Linking theorems for multivalued functionals and application to partial differential inclusions

2026/07/24 by Ablanvi Songo, Fabrice Colin
Mathematics · #math.AP #math.FA

paper · pdf

Abstract

Using the framework of critical point theory for multivalued functionals developed in \citeFri, 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.

Related

• A new infinite-dimensional Linking theorem with application to a system of coupled Poisson equations
• Theorems about includings for multivalued mappings
• On the Linking Principle
• Boundary regularity of Dirichlet minimizing Q-valued functions
• Differential inclusion systems with fractional competing operator and multivalued fractional convection term