Content area
In this article, we use approximation techniques and variational methods to study a class of nonlocal equations with variable exponents and mixed criticality. We prove the existence of the ground state nontrivial solutions with the least energy. Our results are applied to a specific Schrödinger-Poisson type system.
Details
Identifier / keyword
Title
Ground state solutions of nonlocal equations with variable exponents and mixed criticality
Author
Long, Yuhang 1 ; Chen, Xingwen 1 ; Zhang, Qiongfen 1
1 Guilin University of Technology, School of Mathematic and Statistics, Guilin, P.R. China (GRID:grid.440725.0) (ISNI:0000 0000 9050 0527); Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, P.R. China (GRID:grid.440725.0)
1 Guilin University of Technology, School of Mathematic and Statistics, Guilin, P.R. China (GRID:grid.440725.0) (ISNI:0000 0000 9050 0527); Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, P.R. China (GRID:grid.440725.0)
Boundary Value Problems; New York
Volume
2025
Issue
1
Pages
121
Publication year
2025
Publication date
Dec 2025
Place of publication
New York
Country of publication
United Kingdom
Publication subject
ISSN
16872762
e-ISSN
16872770
Source type
Scholarly Journal
Language of publication
English
Document type
Journal Article
Publication history
Online publication date
2025-08-22
Milestone dates
2025-08-02 (Registration); 2025-06-06 (Received); 2025-08-02 (Accepted)
Publication history
First posting date
22 Aug 2025
ProQuest document ID
3242264465
Document URL
https://www.proquest.com/scholarly-journals/ground-state-solutions-nonlocal-equations-with/docview/3242264465/se-2?accountid=208611
Copyright
© The Author(s) 2025. This work is published under http://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Last updated
2025-08-23
Database
ProQuest One Academic