Multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent

Mustapha Khiddi

doi:10.1216/rmj.2022.52.535

Abstract

In this paper, we will prove the existence of multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent setting in the whole space ${\mathbb{R}^3}$ . We achieve our goal by making use of variational methods and the minimax method.

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Mustapha Khiddi. "Multiple solutions for the fractional Schrödinger–Poisson system with critical Sobolev exponent." Rocky Mountain J. Math. 52 (2) 535 - 545, April 2022. https://doi.org/10.1216/rmj.2022.52.535

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Received: 26 May 2021; Revised: 6 August 2021; Accepted: 7 August 2021; Published: April 2022

First available in Project Euclid: 17 May 2022

MathSciNet: MR4422955

zbMATH: 1500.35138

Digital Object Identifier: 10.1216/rmj.2022.52.535

Subjects:

Primary: 35B38 , 35J60 , 35R11

Keywords: Critical Sobolev exponents , fractional equation , fractional Schrodinger–Poisson , Lusternik–Schnirelmann category

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