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-Pois...

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Bibliographic Details
Published inBoundary value problems Vol. 2025; no. 1; pp. 121 - 21
Main Authors Long, Yuhang, Chen, Xingwen, Zhang, Qiongfen
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.12.2025
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Charged particles
Critical phenomena
Difference and Functional Equations
Exponents
Ground state
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Subcritical exponent
Supercritical exponent
Variational method
Variational methods
34C37
Supercritical exponent
47J30
35A15
Subcritical exponent
Variational method
37J45
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-025-02106-7