Existence results in weighted Sobolev space for quasilinear degenerate p(z)−elliptic problems with a Hardy potential

Abstract

The objective of this work is to establish the existence of entropy solutions to degenerate nonlinear elliptic problems for L1-data f with a Hardy potential, in weighted Sobolev spaces with variable exponent, which are represented as follows where is a Leray-Lions operator from into its dual, is a non-linearity term that only meets the growth condition, and ρ > 0 is a constant.

Keywords

• nonlinear elliptic equations
• entropy solutions
• Hardy potential
• weighted variable exponent Sobolev space