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

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 Schrödi...

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Bibliographic Details
Main Authors: Yuhang Long, Xingwen Chen, Qiongfen Zhang
Format: Article
Language:English
Published: SpringerOpen 2025-08-01
Series:Boundary Value Problems
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Online Access:https://doi.org/10.1186/s13661-025-02106-7
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Summary: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.
ISSN:1687-2770