Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772218 | Journal of Functional Analysis | 2017 | 27 Pages |
Abstract
We derive the asymptotic decay of the unique positive, radially symmetric solution to the logarithmic Choquard equationâÎu+au=12Ï[lnâ¡1|x|â|u|2]uin 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 (2009) [13].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Denis Bonheure, Silvia Cingolani, Jean Van Schaftingen,