Degenerate elliptic problem with singular gradient lower order term and variable exponents
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 $L^{m(\cdot)}$ ($m(x)\geq 1$) data. The functional setting involves Lebesgue–Sobolev spaces with variable exponents.