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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| Published in | Boundary value problems Vol. 2025; no. 1; pp. 121 - 21 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Springer International Publishing
01.12.2025
Hindawi Limited SpringerOpen |
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| 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. |
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| AbstractList | 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. 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. |
| ArticleNumber | 121 |
| Author | Zhang, Qiongfen Chen, Xingwen Long, Yuhang |
| Author_xml | – sequence: 1 givenname: Yuhang surname: Long fullname: Long, Yuhang organization: School of Mathematic and Statistics, Guilin University of Technology, Guangxi Colleges and Universities Key Laboratory of Applied Statistics – sequence: 2 givenname: Xingwen surname: Chen fullname: Chen, Xingwen organization: School of Mathematic and Statistics, Guilin University of Technology, Guangxi Colleges and Universities Key Laboratory of Applied Statistics – sequence: 3 givenname: Qiongfen surname: Zhang fullname: Zhang, Qiongfen email: qfzhangcsu@163.com organization: School of Mathematic and Statistics, Guilin University of Technology, Guangxi Colleges and Universities Key Laboratory of Applied Statistics |
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| SubjectTerms | 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 |
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| Title | Ground state solutions of nonlocal equations with variable exponents and mixed criticality |
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