Existence of Solutions for Quasilinear Degenerate Elliptic Equations

Date

2001-11-26

Authors

Akdim, Y.
Azroul, E.
Benkirane, A.

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form A(u) + g(x, u, ∇u) = h, where A is a Leray-Lions operator from W1,p0 (Ω, w) to its dual. On the nonlinear term g(x, s, ξ), we assume growth conditions on ξ, not on s, and a sign condition on s.

Description

Keywords

Weighted Sobolev spaces, Hardy inequality, Quasilinear degenerate elliptic operators

Citation

Akdim, Y., Azroul, E., & Benkirane, A. (2001). Existence of solutions for quasilinear degenerate elliptic equations. <i>Electronic Journal of Differential Equations, 2000</i>(71), pp. 1-19.

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Attribution 4.0 International

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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