Uniqueness of entire ground states for the fractional plasma problem
Analysis of PDEs
2020-12-01 v2
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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Cite
@article{arxiv.2003.01093,
title = {Uniqueness of entire ground states for the fractional plasma problem},
author = {Hardy Chan and María del Mar González and Yanghong Huang and Edoardo Mainini and Bruno Volzone},
journal= {arXiv preprint arXiv:2003.01093},
year = {2020}
}
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