A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems
In this paper, we substantially solve an open problem proposed by Alan Lair for the system of the form ?u=p(|x|)va?u=p(|x|)va and ?v=q(|x|)uß,(x?Rn(n?3))?v=q(|x|)uß,(x?Rn(n?3)) in the sense that, we find more general conditions on f,gf,g in order to obtain an analog existence result as for the parti...
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| Format: | Journal Article |
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Elsevier
2012
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0893965912003291 http://hdl.handle.net/20.500.11937/5875 |
| _version_ | 1848744918231547904 |
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| author | Zhang, Xinguang |
| author_facet | Zhang, Xinguang |
| author_sort | Zhang, Xinguang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we substantially solve an open problem proposed by Alan Lair for the system of the form ?u=p(|x|)va?u=p(|x|)va and ?v=q(|x|)uß,(x?Rn(n?3))?v=q(|x|)uß,(x?Rn(n?3)) in the sense that, we find more general conditions on f,gf,g in order to obtain an analog existence result as for the particular case f(s)=saf(s)=sa and g(s)=sßg(s)=sß treated in [A. Lair, A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems, J. Math. Anal. Appl. 365 (2010) 103–108]. |
| first_indexed | 2025-11-14T06:09:06Z |
| format | Journal Article |
| id | curtin-20.500.11937-5875 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:09:06Z |
| publishDate | 2012 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-58752017-02-28T01:30:04Z A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems Zhang, Xinguang Elliptic system Necessary and sufficient condition Large solution Entire solution In this paper, we substantially solve an open problem proposed by Alan Lair for the system of the form ?u=p(|x|)va?u=p(|x|)va and ?v=q(|x|)uß,(x?Rn(n?3))?v=q(|x|)uß,(x?Rn(n?3)) in the sense that, we find more general conditions on f,gf,g in order to obtain an analog existence result as for the particular case f(s)=saf(s)=sa and g(s)=sßg(s)=sß treated in [A. Lair, A necessary and sufficient condition for the existence of large solutions to sublinear elliptic systems, J. Math. Anal. Appl. 365 (2010) 103–108]. 2012 Journal Article http://hdl.handle.net/20.500.11937/5875 http://www.sciencedirect.com/science/article/pii/S0893965912003291 Elsevier restricted |
| spellingShingle | Elliptic system Necessary and sufficient condition Large solution Entire solution Zhang, Xinguang A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title_full | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title_fullStr | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title_full_unstemmed | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title_short | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| title_sort | necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems |
| topic | Elliptic system Necessary and sufficient condition Large solution Entire solution |
| url | http://www.sciencedirect.com/science/article/pii/S0893965912003291 http://hdl.handle.net/20.500.11937/5875 |