Multiplicity of Positive Solutions for Semilinear Elliptic Systems
We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive solutions of the semilinear elliptic systems ,...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/746380 |
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| _version_ | 1832561431836360704 |
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| author | Tsing-San Hsu |
| author_facet | Tsing-San Hsu |
| author_sort | Tsing-San Hsu |
| collection | DOAJ |
| description | We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive solutions of the semilinear elliptic systems , , where is a bounded domain, , , and for . |
| format | Article |
| id | doaj-art-6633f940e9964ecbafda19d8ffbfca34 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6633f940e9964ecbafda19d8ffbfca342025-02-03T01:25:03ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/746380746380Multiplicity of Positive Solutions for Semilinear Elliptic SystemsTsing-San Hsu0Department of Natural Sciences in the Center for General Education, Chang Gung University, Tao-Yuan 333, TaiwanWe study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive solutions of the semilinear elliptic systems , , where is a bounded domain, , , and for .http://dx.doi.org/10.1155/2013/746380 |
| spellingShingle | Tsing-San Hsu Multiplicity of Positive Solutions for Semilinear Elliptic Systems Abstract and Applied Analysis |
| title | Multiplicity of Positive Solutions for Semilinear Elliptic Systems |
| title_full | Multiplicity of Positive Solutions for Semilinear Elliptic Systems |
| title_fullStr | Multiplicity of Positive Solutions for Semilinear Elliptic Systems |
| title_full_unstemmed | Multiplicity of Positive Solutions for Semilinear Elliptic Systems |
| title_short | Multiplicity of Positive Solutions for Semilinear Elliptic Systems |
| title_sort | multiplicity of positive solutions for semilinear elliptic systems |
| url | http://dx.doi.org/10.1155/2013/746380 |
| work_keys_str_mv | AT tsingsanhsu multiplicityofpositivesolutionsforsemilinearellipticsystems |