A new existence result for some nonlocal problems involving Orlicz spaces and its applications-Reference-Cited by-同舟云学术

A new existence result for some nonlocal problems involving Orlicz spaces and its applications

Published:2022-09-03 Issue:1 Volume:2022 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Qiu Xiaohui,Yan Baoqiang

Abstract

AbstractThis paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present an existence result on the positive solutions of a singular elliptic nonlocal equation. Our work improves the results of some previous researches.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-022-01641-x.pdf

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