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Research Article | Open Access

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

Yang Pu1, Hongying Li1, Jiafeng Liao1,2( )
School of Mathematics and Information, China West Normal University, Nanchong, Sichuan 637009, China
College of Mathematics Education, China West Normal University, Nanchong, Sichuan 637009, China
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Abstract

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.

Keywords

fractional Schrödinger-Poisson systemdoubly critical exponentvariational methodpositive solution
CLC number: 35J20, 35J60

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AIMS Mathematics
Volume 7 Issue 10,
October 2022
Pages 18311-18322
DOI: 10.3934/math.20221008

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Cite this article:
Pu Y, Li H, Liao J. Ground state solutions for the fractional Schrödinger-Poisson system involving doubly critical exponents. AIMS Mathematics, 2022, 7(10): 18311-18322. https://doi.org/10.3934/math.20221008

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Received: 20 June 2022
Revised: 01 August 2022
Accepted: 03 August 2022
Published: 15 October 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)