Published Paper

Inserted: 4 mar 2020
Last Updated: 1 dec 2020

Journal: Calc. Var. Partial Differential Equations
Volume: 59
Number: 195
Year: 2020
Doi: 10.1007/s00526-020-01845-y

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.