Peer-Reviewed Article November 30, 2015
Nonlinear elliptic systems with variable exponents and measure data
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Published in: Moroccan Journal of Pure and Applied Analysis
Publisher: Sidi Mohamed Ben Abdellah University • Morocco • 2351-8227 • 2605-6364
Abstract
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.