Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data

We prove existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L1L1 data. The functional setting involves Lebesgue–Sobolev space with variable exponents W1,p(⋅)(Ω)W1,p(⋅)(Ω).