Existence and Nonexistence of a Solution for a Nonlinear -Elliptic Problem with Right-Hand Side Measure

Elhoussine Azroul, Abdelkrim Barbara and Hicham Redwane

International Journal of Analysis, 2014, vol. 2014, 1-15

Abstract:

We discuss the existence and nonexistence of solution of a nonlinear problem -elliptic- , where is a Radon measure with bounded total variation, by considering the Sobolev spaces with variable exponents. This study is done in two cases: (i) is absolutely continuous with respect to -capacity. and (ii) is concentrated on a Borel set of null -capacity.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:320527

DOI: 10.1155/2014/320527

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