The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent
We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/7210680 |
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| _version_ | 1832564143691923456 |
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| author | Yanbin Sang Xiaorong Luo Yongqing Wang |
| author_facet | Yanbin Sang Xiaorong Luo Yongqing Wang |
| author_sort | Yanbin Sang |
| collection | DOAJ |
| description | We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem. |
| format | Article |
| id | doaj-art-c027ac53ce2246d7bbeed75c308fb845 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c027ac53ce2246d7bbeed75c308fb8452025-02-03T01:11:45ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/72106807210680The Choquard Equation with Weighted Terms and Sobolev-Hardy ExponentYanbin Sang0Xiaorong Luo1Yongqing Wang2Department of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051, ChinaDepartment of Mathematics, School of Science, North University of China, Taiyuan, Shanxi 030051, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaWe study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. We apply variational methods and Lusternik-Schnirelmann category to prove the multiple positive solutions for this problem.http://dx.doi.org/10.1155/2018/7210680 |
| spellingShingle | Yanbin Sang Xiaorong Luo Yongqing Wang The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent Journal of Function Spaces |
| title | The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent |
| title_full | The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent |
| title_fullStr | The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent |
| title_full_unstemmed | The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent |
| title_short | The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent |
| title_sort | choquard equation with weighted terms and sobolev hardy exponent |
| url | http://dx.doi.org/10.1155/2018/7210680 |
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