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.

degenerate problem
singular term
regularity solution
the comparison principle
Harnack inequality
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