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Semiclassical states for fractional Choquard equations with critical frequency.
- Source :
-
Complex Variables & Elliptic Equations . Aug2019, Vol. 64 Issue 8, p1376-1401. 26p. - Publication Year :
- 2019
-
Abstract
- In this paper, we study the semiclassical states for the fractional Choquard equation where , N>2s, , and , is a continuous potential satisfying suitable assumptions and is a small parameter. Using the mountain pass lemma and the Brezis-Lieb lemma, we prove the existence and asymptotic behavior of groundstates for and the nonexistence of solution for the minimization problem for , where Inspired by the result, we further consider the existence and asymptotic behavior of groundstates for the above equation under a nonlocal perturbation, that is, equation with. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*MOUNTAINS
Subjects
Details
- Language :
- English
- ISSN :
- 17476933
- Volume :
- 64
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Complex Variables & Elliptic Equations
- Publication Type :
- Academic Journal
- Accession number :
- 136607459
- Full Text :
- https://doi.org/10.1080/17476933.2018.1530665