Nonlinear elliptic systems with variable exponents and measure data

Abstract

In this paper we prove existence results for distributional solutions of nonlinear elliptic systems with a measure data. The functional setting involves Lebesgue-Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents W01,p(·)(Ω) and Mp(·)(Ω) respectively.

Keywords

• elliptic system
• measure data
• weak solution
• variable exponents