Existence of solutions for quasilinear degenerate elliptic equations
Youssef Akdim, Elhoussine Azroul, Abdelmoujib Benkirane · DOAJ (DOAJ: Directory of Open Access Journals) · 2001
In this paper, we study the existence of solutions for quasilinear degenerate elliptic equations of the form $A(u)+g(x,u,abla u)=h$, where $A$ is a Leray-Lions operator from $W_0^{1,p}(Omega,w)$ to its dual. On the nonlinear term $g(x,s,xi)$, we assume growth conditions on $xi$, not on $s$, and a sign condition on $s$.