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arXiv · 2003.01093

Uniqueness of entire ground states for the fractional plasma problem

Hardy Chan·María del Mar González·Yanghong Huang·Edoardo Mainini·Bruno Volzone
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Abstract

We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat the fractional plasma equation and the supercritical power nonlinearity. As an application, we deduce uniqueness of radial steady states for nonlocal aggregation-diffusion equations of Keller-Segel type, even in the regime that is dominated by aggregation.

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Hardy Chan, María del Mar González, Yanghong Huang, Edoardo Mainini, Bruno Volzone. 2020-03-02. Uniqueness of entire ground states for the fractional plasma problem. https://arxiv.org/abs/2003.01093

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