Positive solution for a nonlocal problem with strong singular nonlinearity

Autor: Wang Yue, Wei Wei, Xiong Zong-Hong, Yang Jian
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Open Mathematics, Vol 21, Iss 1, Pp 284-346 (2023)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2023-0103
Popis: 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.
Databáze: Directory of Open Access Journals