Some reflections on variational methods for partial differential inclusions

TL;DR

This paper explores how variational methods, especially non-smooth critical point theory, can be applied to solve a broad class of partial differential inclusions, offering insights into their theoretical framework.

Contribution

It introduces a variational approach based on non-smooth critical point theory for partial differential inclusions, expanding the applicability of these methods.

Findings

Established a variational framework for partial differential inclusions.

Extended non-smooth critical point theory to this class of problems.

Provided theoretical insights into solution existence and properties.

Abstract

We discuss the application of variational methods, based on non-smooth critical point theory, to a general class of partial differential inclusions.