On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$
Abstract This paper deals with the existence and multiplicity of symmetric solutions for a weighted semilinear elliptic system with multiple critical Hardy-Sobolev exponents and singular potentials in R N $\mathbb{R}^{N}$ . Applying the symmetric criticality principle and Caffarelli-Kohn-Nirenberg i...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2016-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-016-1179-9 |
| _version_ | 1811269450003906560 |
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| author | Zhiying Deng Qifeng Wang Yisheng Huang |
| author_facet | Zhiying Deng Qifeng Wang Yisheng Huang |
| author_sort | Zhiying Deng |
| collection | DOAJ |
| description | Abstract This paper deals with the existence and multiplicity of symmetric solutions for a weighted semilinear elliptic system with multiple critical Hardy-Sobolev exponents and singular potentials in R N $\mathbb{R}^{N}$ . Applying the symmetric criticality principle and Caffarelli-Kohn-Nirenberg inequality, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the parameters and the weighted functions. |
| first_indexed | 2024-04-12T21:42:15Z |
| format | Article |
| id | doaj.art-95b12dd25dfd46bea5060c6022bfa25b |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-12T21:42:15Z |
| publishDate | 2016-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-95b12dd25dfd46bea5060c6022bfa25b2022-12-22T03:15:44ZengSpringerOpenJournal of Inequalities and Applications1029-242X2016-09-012016112210.1186/s13660-016-1179-9On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$Zhiying Deng0Qifeng Wang1Yisheng Huang2School of Mathematics and Physics, Chongqing University of Posts and TelecommunicationsSchool of Mathematics and Physics, Chongqing University of Posts and TelecommunicationsDepartment of Mathematics, Soochow UniversityAbstract This paper deals with the existence and multiplicity of symmetric solutions for a weighted semilinear elliptic system with multiple critical Hardy-Sobolev exponents and singular potentials in R N $\mathbb{R}^{N}$ . Applying the symmetric criticality principle and Caffarelli-Kohn-Nirenberg inequality, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the parameters and the weighted functions.http://link.springer.com/article/10.1186/s13660-016-1179-9G-symmetric solutionsymmetric criticality principleCaffarelli-Kohn-Nirenberg inequalitysemilinear elliptic system |
| spellingShingle | Zhiying Deng Qifeng Wang Yisheng Huang On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ Journal of Inequalities and Applications G-symmetric solution symmetric criticality principle Caffarelli-Kohn-Nirenberg inequality semilinear elliptic system |
| title | On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ |
| title_full | On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ |
| title_fullStr | On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ |
| title_full_unstemmed | On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ |
| title_short | On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$ |
| title_sort | on symmetric solutions of a critical semilinear elliptic system involving the caffarelli kohn nirenberg inequality in r n mathbb r n |
| topic | G-symmetric solution symmetric criticality principle Caffarelli-Kohn-Nirenberg inequality semilinear elliptic system |
| url | http://link.springer.com/article/10.1186/s13660-016-1179-9 |
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