Uniqueness of entire ground states for the fractional plasma problem
| Autor: | Chan, Hardy, González, María del Mar, Huang, Yanghong, Mainini, Edoardo, Volzone, Bruno |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: journal version |
| Databáze: | arXiv |
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