We derive the asymptotic decay of the unique positive, radially symmetric solution to the logarithmic Choquard equation 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 (2009) .
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate
Cingolani S.
;
2017-01-01
Abstract
We derive the asymptotic decay of the unique positive, radially symmetric solution to the logarithmic Choquard equation 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 (2009) .File in questo prodotto:
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