L~∞-Estimate for Some Quasilinear Degenerate Elliptic Equations

摘要

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations -∑_(j=1~n)D_j [ω_1(x)A_j(x,u, ▽u)] + g(x,u(x))ω_2(x) + H(x,u,▽u)ω_3(x) = fo - div F,on O, in the setting of the weighted Sobolev spaces W_0~(1,p)(Ω,ω_1,ω_2).