Nonlinear elliptic problems in weighted variable exponent Sobolev spaces by topological degree.

In this paper, we prove the existence of solutions for the nonlinear p(.) degenerate problems involving nonlinear operators of the form - div a(x, ∇u) = f(x, u, ∇u) where a and fare Caratheodoryfunctions satisfying some nonstandard growth conditions. [ABSTRACT FROM AUTHOR]