On a Phi-Kirchhoff multivalued problem with critical growth in an Orlicz-Sobolev space

TL;DR

This paper investigates the existence and multiplicity of solutions for a nonlocal Phi-Kirchhoff problem with critical growth in Orlicz-Sobolev spaces, employing advanced functional analysis techniques.

Contribution

It introduces new multiplicity results for nonlocal problems with critical growth in Orlicz-Sobolev spaces, expanding the understanding of such problems with N-functions and locally Lipschitz functionals.

Findings

Multiple nontrivial solutions established

Extension of results to critical growth scenarios

Application of Orlicz-Sobolev space theory

Abstract

This paper is concerned with the multiplicity of nontrivial solutions in an Orlicz-Sobolev space for a nonlocal problem with critical growth, involving N-functions and theory of locally Lispchitz continuous functionals.