Work

Ground state solutions of nonlocal equations with variable exponents and mixed criticality

Year: 2025

Type: article

Abstract: 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.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02106-7

Authors: Yuhang Long, Xingwen Chen, Qiongfen Zhang

Institution: Guilin University of Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Natural Science Foundation of Guangxi Province