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arXiv · 1609.09558

A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent

Claudianor O. Alves·Leandro da S. Tavares
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Abstract

In this work, we have proved a version of the Hardy-Littlewood-Sobolev inequality for variable exponents. After we use the variational method to establish the existence of solution for a class of Choquard equations involving the $p(x)$-Laplacian operator.

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Claudianor O. Alves, Leandro da S. Tavares. 2016-09-30. A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent. https://arxiv.org/abs/1609.09558

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