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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Hindawi Limited
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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doaj-45ba9d5b7e7743628c64cf7d8821fece |
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Article |
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doaj-45ba9d5b7e7743628c64cf7d8821fece2020-11-25T00:37:38ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zonghu Xiu |
| spellingShingle |
Zonghu Xiu Existence of Multiple Solutions for a Singular Elliptic Problem with Critical Sobolev Exponent Abstract and Applied Analysis |
| author_facet |
Zonghu Xiu |
| author_sort |
Zonghu Xiu |
| title |
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_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_sort |
existence of multiple solutions for a singular elliptic problem with critical sobolev exponent |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2012-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2012/806397 |
| work_keys_str_mv |
AT zonghuxiu existenceofmultiplesolutionsforasingularellipticproblemwithcriticalsobolevexponent |
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1725300331996250112 |