Bonheure, Denis
[Université Libre de Bruxelles]
Cingolani, Silvia
[Politecnico di Bari]
Van Schaftingen, Jean
[UCL]
We derive the asymptotic decay of the unique positive, radially symmetric solution to the logarithmic Choquard equation −Δu+au=1/(2π) [ln1|x|∗|u|²] u in ℝ² and we establish its nondegeneracy. For the corresponding three-dimensional problem, the nondegeneracy property of the positive ground state to the Choquard equation was proved by E. Lenzmann (Analysis & PDE, 2009).
Bibliographic reference |
Bonheure, Denis ; Cingolani, Silvia ; Van Schaftingen, Jean. The logarithmic Choquard equation: Sharp asymptotics and nondegeneracy of the groundstate. In: Journal of Functional Analysis, Vol. 272, no.12, p. 5255-5281 (2017) |
Permanent URL |
http://hdl.handle.net/2078.1/186089 |