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arXiv · 2008.11186

Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications

Roberta Musina·Alexander I. Nazarov
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Abstract

We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We prove nondegeneracy of ground state solutions to the basic equation and investigate existence and qualitative properties, including symmetry of solutions to some perturbed equations.

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Roberta Musina, Alexander I. Nazarov. 2020-08-25. Complete classification and nondegeneracy of minimizers for the fractional Hardy-Sobolev inequality, and applications. https://arxiv.org/abs/2008.11186

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