Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents
In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.
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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: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/6727414 |
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| _version_ | 1832554541325746176 |
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| author | Yong-Yi Lan Xian Hu Bi-Yun Tang |
| author_facet | Yong-Yi Lan Xian Hu Bi-Yun Tang |
| author_sort | Yong-Yi Lan |
| collection | DOAJ |
| description | In this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem. |
| format | Article |
| id | doaj-art-05bfe696434148a5babf2633a0f1c4a3 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-05bfe696434148a5babf2633a0f1c4a32025-02-03T05:51:14ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/67274146727414Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev ExponentsYong-Yi Lan0Xian Hu1Bi-Yun Tang2School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaIn this paper, we study multiplicity of positive solutions for a class of semilinear elliptic equations with the nonlinearity containing singularity and Hardy-Sobolev exponents. Using variational methods, we establish the existence and multiplicity of positive solutions for the problem.http://dx.doi.org/10.1155/2020/6727414 |
| spellingShingle | Yong-Yi Lan Xian Hu Bi-Yun Tang Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents Journal of Function Spaces |
| title | Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents |
| title_full | Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents |
| title_fullStr | Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents |
| title_full_unstemmed | Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents |
| title_short | Positive Solutions for Elliptic Problems with the Nonlinearity Containing Singularity and Hardy-Sobolev Exponents |
| title_sort | positive solutions for elliptic problems with the nonlinearity containing singularity and hardy sobolev exponents |
| url | http://dx.doi.org/10.1155/2020/6727414 |
| work_keys_str_mv | AT yongyilan positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents AT xianhu positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents AT biyuntang positivesolutionsforellipticproblemswiththenonlinearitycontainingsingularityandhardysobolevexponents |