Fractional Hardy-Sobolev equations with nonhomogeneous terms

Mousomi Bhakta; Souptik Chakraborty; Patrizia Pucci

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arXiv · 2008.01118

Fractional Hardy-Sobolev equations with nonhomogeneous terms

Mousomi Bhakta·Souptik Chakraborty·Patrizia Pucci

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Abstract

The paper deals with existence and multiplicity of positive solutions to nonlocal equations with critical Hrardy-Sobolev nonlinearities and external terms. We establish the profile decomposition of the Palais-Smale sequences associated with the functional and existence of at least two positive solutions to the equation.

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Mousomi Bhakta, Souptik Chakraborty, Patrizia Pucci. 2020-08-03. Fractional Hardy-Sobolev equations with nonhomogeneous terms. https://arxiv.org/abs/2008.01118

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