Uniqueness of entire ground states for the fractional plasma problem

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 radia...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2020-12, Vol.59 (6), Article 195
Main Authors: Chan, Hardy, González, María Del Mar, Huang, Yanghong, Mainini, Edoardo, Volzone, Bruno
Format: Article
Language:English
Subjects:
Agglomeration
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Elliptic functions
Ground state
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
Uniqueness
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Summary: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.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-020-01845-y