DOI: 10.68381/jca21018 ISSN: 0944-6532

Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data

Boqiang Lv, Fengquan Li, Weilin Zou

We prove the existence and uniqueness of renormalized solutions to a class of nonlinear elliptic equations with variable exponents and measure data in

L^{1}(\Omega)+W^{-1,p'(\cdot)}(\Omega) L 1 ( Ω ) + W − 1 , p ′ ( ⋅ ) ( Ω )
.