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Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity.
- Source :
-
Mathematische Nachrichten . May2023, Vol. 296 Issue 5, p2167-2191. 25p. - Publication Year :
- 2023
-
Abstract
- In this paper, we are concerned with the existence of positive solutions for a class of fractional Schrödinger–Poisson system with critical nonlinearity and multiple competing potentials, which may decay and vanish at infinity. Under some local conditions, we show the existence and concentration of positive solutions by using the modified penalization method and concentration–compactness principle. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CRITICAL exponents
Subjects
Details
- Language :
- English
- ISSN :
- 0025584X
- Volume :
- 296
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematische Nachrichten
- Publication Type :
- Academic Journal
- Accession number :
- 163765303
- Full Text :
- https://doi.org/10.1002/mana.202100094