Entropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity

Abstract

ABSTRACTThis article is devoted to the study of a class of nonlinear anisotropic elliptic equations with degenerate coercivity, lower order term and datum in appropriate anisotropic variable exponent Sobolev space. We obtain the existence of the entropy solutions via strong convergence of the truncations and we derive some properties of these solutions.