Degenerate elliptic problem with singular gradient lower order term and variable exponents

Abstract

In this paper, we prove the existence and regularity of weak solutions for a class of nonlinear elliptic equations with degenerate coercivity and singular lower-order terms with natural growth with respect to the gradient and Lm(⋅) (m(x)≥1) data. The functional setting involves Lebesgue–Sobolev spaces with variable exponents.