Liouville‐type theorems for a nonlinear fractional Choquard equation-Reference-Cited by-同舟云学术

Liouville‐type theorems for a nonlinear fractional Choquard equation

Published:2023-03-18 Issue:6 Volume:296 Page:2321-2331
ISSN:0025-584X
Container-title:Mathematische Nachrichten
language:en
Short-container-title:Mathematische Nachrichten

Author:

Duong Anh Tuan¹^ORCID,Loan Tran Thi²,Quyet Dao Trong³,Thang Dao Manh⁴

Affiliation:

1. School of Applied Mathematics and Informatics Hanoi University of Science and Technology, Hai Ba Trung Hanoi Vietnam

2. Department of Mathematics Hanoi National University of Education Hanoi Vietnam

3. Academy of Finance Dong Ngac, Bac Tu Liem Hanoi Vietnam

4. Hung Vuong High School for Gifted Student Phu Tho Vietnam

Abstract

AbstractIn this paper, we are concerned with the fractional Choquard equation on the whole space with , and . We first prove that the equation does not possess any positive solution for . When , we establish a Liouville type theorem saying that if then the equation has no positive stable solution. This extends, in particular, a result in [27] to the fractional Choquard equation.

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mana.202000462

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