Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent

Abstract

The aim of this paper is to establish the existence of solutions for a nonlinear elliptic problem of the form

Keywords

• nonlinear elliptic problem
• sobolev spaces with variable exponent
• topological degree
• normalising maps
• 35j66
• 47h11
• 46e35