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

Author

Ghizlane Zineddaine, Abdelaziz Sabiry, Said Melliani, and Abderrazak Kassidi

Subjects
nonlinear elliptic equations, entropy solutions, Hardy potential, weighted variable exponent Sobolev space, Mathematics, QA1-939
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.

Published
2024
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