Fractional Hardy–Sobolev Inequalities with Magnetic Fields
A fractional Hardy–Sobolev inequality with a magnetic field is studied in the present paper. Under appropriate conditions, the achievement of the best constant of the fractional magnetic Hardy–Sobolev inequality is established.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/6595961 |
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| _version_ | 1850174852029218816 |
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| author | Min Liu Fengli Jiang Zhenyu Guo |
| author_facet | Min Liu Fengli Jiang Zhenyu Guo |
| author_sort | Min Liu |
| collection | DOAJ |
| description | A fractional Hardy–Sobolev inequality with a magnetic field is studied in the present paper. Under appropriate conditions, the achievement of the best constant of the fractional magnetic Hardy–Sobolev inequality is established. |
| format | Article |
| id | doaj-art-c933cb94de21456ab8094b150cf466b1 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-c933cb94de21456ab8094b150cf466b12025-08-20T02:19:34ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/65959616595961Fractional Hardy–Sobolev Inequalities with Magnetic FieldsMin Liu0Fengli Jiang1Zhenyu Guo2School of Sciences, Liaoning Shihua University, Fushun 113001, ChinaSchool of Sciences, Liaoning Shihua University, Fushun 113001, ChinaSchool of Mathematics, Liaoning Normal University, Dalian 116029, ChinaA fractional Hardy–Sobolev inequality with a magnetic field is studied in the present paper. Under appropriate conditions, the achievement of the best constant of the fractional magnetic Hardy–Sobolev inequality is established.http://dx.doi.org/10.1155/2019/6595961 |
| spellingShingle | Min Liu Fengli Jiang Zhenyu Guo Fractional Hardy–Sobolev Inequalities with Magnetic Fields Advances in Mathematical Physics |
| title | Fractional Hardy–Sobolev Inequalities with Magnetic Fields |
| title_full | Fractional Hardy–Sobolev Inequalities with Magnetic Fields |
| title_fullStr | Fractional Hardy–Sobolev Inequalities with Magnetic Fields |
| title_full_unstemmed | Fractional Hardy–Sobolev Inequalities with Magnetic Fields |
| title_short | Fractional Hardy–Sobolev Inequalities with Magnetic Fields |
| title_sort | fractional hardy sobolev inequalities with magnetic fields |
| url | http://dx.doi.org/10.1155/2019/6595961 |
| work_keys_str_mv | AT minliu fractionalhardysobolevinequalitieswithmagneticfields AT fenglijiang fractionalhardysobolevinequalitieswithmagneticfields AT zhenyuguo fractionalhardysobolevinequalitieswithmagneticfields |