Nonlinear elliptic systems with variable exponents and measure data

Bendahmane, Mostafa; Mokhtari, Fares

doi:10.7603/s40956-015-0008-3

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 W₀^1,p(·)(Ω) and M^p(·)(Ω) respectively.

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Nonlinear elliptic systems with variable exponents and measure data

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