Regularity results for a singular elliptic equations involving variable exponents

In this paper, we investigate the existence and regularity of nonnegative weak solutions for specific class of nonlinear singular anisotropic elliptic problems with degenerate coercivity involving variable exponents. We show that certain lower-order term contribute to the regularization of solutions, as well as the regularization induced by a singular nonlinearity term. Our methodology employs an approximation technique that integrates anisotropic variable exponent Sobolev spaces, truncation methods, compactness arguments, and Schauder’s fixed-point theorem. These findings extend some previous results established under constant exponents.