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On the existence of solutions for a class of nonlinear fractional Schrödinger-Poisson system: Subcritical and critical cases.
- Source :
-
Fractional Calculus & Applied Analysis . Aug2024, Vol. 27 Issue 4, p1670-1708. 39p. - Publication Year :
- 2024
-
Abstract
- In this paper, we establish the existence of standing wave solutions for a class of nonlinear fractional Schrödinger-Poisson system involving nonlinearity with subcritical and critical growth. We suppose that the potential V satisfies either Palais-Smale type condition or there exists a bounded domain Ω such that V has no critical point in ∂ Ω . To overcome the "lack of compactness" of the problem, we combine Del Pino-Felmer's penalization technique with Moser's iteration method and some ideas from Alves [1]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STANDING waves
*MOUNTAIN pass theorem
Subjects
Details
- Language :
- English
- ISSN :
- 13110454
- Volume :
- 27
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Fractional Calculus & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 178504288
- Full Text :
- https://doi.org/10.1007/s13540-024-00296-y