L∞-Solutions for Some Nonlinear Degenerate Elliptic Equations

Abstract EN

We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations -∑j=1nDj[ω2(x)Aj(x,u,∇u)]+ω1(x)g(x,u(x))+H(x,u,∇u) ω2(x)=f(x), on Ω in the setting of the weighted Sobolev spaces W01,p(Ω,ω1,ω2).