Ground State Solutions of Fractional Choquard Problems with Critical Growth
In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained. In addition, we demonstrate the existence of ground stat...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/7/7/555 |
| _version_ | 1797589229086179328 |
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| author | Jie Yang Hongxia Shi |
| author_facet | Jie Yang Hongxia Shi |
| author_sort | Jie Yang |
| collection | DOAJ |
| description | In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained. In addition, we demonstrate the existence of ground state solutions for the corresponding limit problem. |
| first_indexed | 2024-03-11T01:03:33Z |
| format | Article |
| id | doaj.art-4039c83789b74977b27e7f6fd44abeac |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T01:03:33Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-4039c83789b74977b27e7f6fd44abeac2023-11-18T19:26:27ZengMDPI AGFractal and Fractional2504-31102023-07-017755510.3390/fractalfract7070555Ground State Solutions of Fractional Choquard Problems with Critical GrowthJie Yang0Hongxia Shi1School of Mathematics and Computational Science, Huaihua University, Huaihua 418008, ChinaSchool of Mathematics and Computational Science, Hunan First Normal University, Changsha 410205, ChinaIn this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained. In addition, we demonstrate the existence of ground state solutions for the corresponding limit problem.https://www.mdpi.com/2504-3110/7/7/555fractional Choquard equationground state solutionPohožaev identitycritical growth |
| spellingShingle | Jie Yang Hongxia Shi Ground State Solutions of Fractional Choquard Problems with Critical Growth Fractal and Fractional fractional Choquard equation ground state solution Pohožaev identity critical growth |
| title | Ground State Solutions of Fractional Choquard Problems with Critical Growth |
| title_full | Ground State Solutions of Fractional Choquard Problems with Critical Growth |
| title_fullStr | Ground State Solutions of Fractional Choquard Problems with Critical Growth |
| title_full_unstemmed | Ground State Solutions of Fractional Choquard Problems with Critical Growth |
| title_short | Ground State Solutions of Fractional Choquard Problems with Critical Growth |
| title_sort | ground state solutions of fractional choquard problems with critical growth |
| topic | fractional Choquard equation ground state solution Pohožaev identity critical growth |
| url | https://www.mdpi.com/2504-3110/7/7/555 |
| work_keys_str_mv | AT jieyang groundstatesolutionsoffractionalchoquardproblemswithcriticalgrowth AT hongxiashi groundstatesolutionsoffractionalchoquardproblemswithcriticalgrowth |