Ground state solutions of nonlocal equations with variable exponents and mixed criticality
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.
Authors
- Qiongfen Zhang (ORCID: https://orcid.org/0000-0002-7037-1961)
- Yuhang Long
- Xingwen Chen (ORCID: https://orcid.org/0009-0005-5992-8326)
Institutions
- Guangxi University (CN)
- Guilin University of Aerospace Technology (CN)
- Guilin University of Technology (CN)
- Guilin University of Electronic Technology (CN)
Publication Details
- Journal
- Boundary Value Problems
- Published
- 2025-08-22
- DOI
- https://doi.org/10.1186/s13661-025-02106-7
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Guangxi Province