Existence of Solutions for Quasilinear Degenerate Elliptic Equations

Files
akdim.pdf (280.89 KB)
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, 2001</i>(71), pp. 1-19.
URI
https://hdl.handle.net/10877/11948
Collections
Electronic Journal of Differential Equations