Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent
We consider the existence of multiple solutions of the singular elliptic problem , as , where , , , , , , . By the variational method and the theory of genus, we prove that the above-mentioned problem has infinitely many solutions when some conditions are satisfied.
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/806397 |
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| _version_ | 1832561010553126912 |
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| author | Zonghu Xiu |
| author_facet | Zonghu Xiu |
| author_sort | Zonghu Xiu |
| collection | DOAJ |
| description | We consider the existence of multiple solutions of the singular elliptic problem , as , where , , , , , , . By the variational method and the theory of genus, we prove that the above-mentioned problem has infinitely many solutions when some conditions are satisfied. |
| format | Article |
| id | doaj-art-45ba9d5b7e7743628c64cf7d8821fece |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-45ba9d5b7e7743628c64cf7d8821fece2025-02-03T01:26:08ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/806397806397Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev ExponentZonghu Xiu0Science and Information College, Qingdao Agricultural University, Qingdao 266109, ChinaWe consider the existence of multiple solutions of the singular elliptic problem , as , where , , , , , , . By the variational method and the theory of genus, we prove that the above-mentioned problem has infinitely many solutions when some conditions are satisfied.http://dx.doi.org/10.1155/2012/806397 |
| spellingShingle | Zonghu Xiu Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent Abstract and Applied Analysis |
| title | Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent |
| title_full | Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent |
| title_fullStr | Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent |
| title_full_unstemmed | Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent |
| title_short | Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent |
| title_sort | existence of multiple solutions for a singular elliptic problem with critical sobolev exponent |
| url | http://dx.doi.org/10.1155/2012/806397 |
| work_keys_str_mv | AT zonghuxiu existenceofmultiplesolutionsforasingularellipticproblemwithcriticalsobolevexponent |