Anisotropic nonlinear weighted elliptic equations with variable exponents.

In this paper we prove the existence of distributional solutions to certain anisotropic nonlinear weighted elliptic equations with variable exponents, where the weight function belongs to the anisotropic Sobolev space with variable exponents and zero boundary. The functional setting involves anisotropic variable exponents Lebesgue–Sobolev spaces. [ABSTRACT FROM AUTHOR]