Positive solution for a nonlocal problem with strong singular nonlinearity-Reference-Cited by-同舟云学术

Positive solution for a nonlocal problem with strong singular nonlinearity

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Wang Yue¹,Wei Wei²,Xiong Zong-Hong¹,Yang Jian¹

Affiliation:

1. School of Data Science and Information Engineering, Guizhou Minzu University , Guiyang 550025 , People’s Republic of China

2. School of Mathematics and Big Data, Guizhou Education University , Guiyang 550018 , People’s Republic of China

Abstract

Abstract In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution. Moreover, a method of algebraic analysis is used to deal with the multiplicity of solutions. Compared with the existing literature, our problems and results are novel.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2023-0103/pdf

Reference48 articles.

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