Ground State Solutions of Fractional Choquard Problems with Critical Growth-Reference-Cited by-同舟云学术

Ground State Solutions of Fractional Choquard Problems with Critical Growth

Published:2023-07-17 Issue:7 Volume:7 Page:555
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Yang Jie¹,Shi Hongxia²

Affiliation:

1. School of Mathematics and Computational Science, Huaihua University, Huaihua 418008, China

2. School of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, China

Abstract

In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained. In addition, we demonstrate the existence of ground state solutions for the corresponding limit problem.

Funder

Natural Science Foundation of Hunan Province of China

Research Foundation of Education Bureau of Hunan Province

Huaihua University Double First-Class Initiative Applied Characteristic Discipline of Control Science and Engineering

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/555/pdf

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