Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗
In this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable-order fractional magnetic Laplace operator involving variable exponents and steep potential. By using the decomposition of the Nehari manifold and variational method, we obtain...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/1320635 |
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| _version_ | 1849387200440958976 |
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| author | Jianwen Zhou Bianxiang Zhou Liping Tian Yanning Wang |
| author_facet | Jianwen Zhou Bianxiang Zhou Liping Tian Yanning Wang |
| author_sort | Jianwen Zhou |
| collection | DOAJ |
| description | In this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable-order fractional magnetic Laplace operator involving variable exponents and steep potential. By using the decomposition of the Nehari manifold and variational method, we obtain the existence results of nontrivial solutions to the equation under suitable conditions. |
| format | Article |
| id | doaj-art-2bf5fd377b35451bbb69951e8fb49939 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-2bf5fd377b35451bbb69951e8fb499392025-08-20T03:55:17ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/13206351320635Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗Jianwen Zhou0Bianxiang Zhou1Liping Tian2Yanning Wang3Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaDepartment of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Basic Medical Science, Kunming Medical University, Kunming, Yunnan 650500, ChinaIn this paper, we show the existence of solutions for an indefinite fractional Schrödinger equation driven by the variable-order fractional magnetic Laplace operator involving variable exponents and steep potential. By using the decomposition of the Nehari manifold and variational method, we obtain the existence results of nontrivial solutions to the equation under suitable conditions.http://dx.doi.org/10.1155/2020/1320635 |
| spellingShingle | Jianwen Zhou Bianxiang Zhou Liping Tian Yanning Wang Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ Advances in Mathematical Physics |
| title | Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ |
| title_full | Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ |
| title_fullStr | Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ |
| title_full_unstemmed | Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ |
| title_short | Variational Approach for the Variable-Order Fractional Magnetic Schrödinger Equation with Variable Growth and Steep Potential in ℝN∗ |
| title_sort | variational approach for the variable order fractional magnetic schrodinger equation with variable growth and steep potential in rn∗ |
| url | http://dx.doi.org/10.1155/2020/1320635 |
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