Nonlinear elliptic systems with variable exponents and measure data
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04. Feb. 2017
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Artikel-Kategorie: Research Article
Online veröffentlicht: 04. Feb. 2017
Seitenbereich: 108 - 125
Eingereicht: 05. Nov. 2015
Akzeptiert: 02. Jan. 2016
DOI: https://doi.org/10.7603/s40956-015-0008-3
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© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.