L~(infinity)-Solutions for Some Nonlinear Degenerate Elliptic Equations

摘要

We are interested in the existence of solutions for Dirichlet problem associated to the degenerate quasilinear elliptic equations - sum from j=1 to n of D_(j)[(omega)_(2)(x)A_(j)(x, u, (nabla)u)] + (omega)_(1) (x)g(x, u(x))+ H(x, u, (nabla)u) (omega)_(2)(x) velence f(x), on OMEGA in the setting of the weighted Sobolev spaces W_(0)~(1,p) (OMEGA, (omega)_(1), (omega)_(2)).