Ground state solutions for the fractional Schrödinger-Poisson system involving doubly critical exponents

In this article, we are dedicated to studying the fractional Schrödinger-Poisson system involving doubly critical exponent. By using the variational method and analytic techniques, we establish the existence of positive ground state solution.

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 10; pp. 18311 - 18322
Main Authors Pu, Yang, Li, Hongying, Liao, Jiafeng
Format Journal Article
LanguageEnglish
Published AIMS Press 01.08.2022
Subjects
doubly critical exponent
fractional schrödinger-poisson system
positive solution
variational method
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Summary:In this article, we are dedicated to studying the fractional Schrödinger-Poisson system involving doubly critical exponent. By using the variational method and analytic techniques, we establish the existence of positive ground state solution.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20221008