A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems
| dc.contributor.author | Zhang, Xinguang | |
| dc.date.accessioned | 2017-01-30T10:49:06Z | |
| dc.date.available | 2017-01-30T10:49:06Z | |
| dc.date.created | 2014-11-19T01:13:46Z | |
| dc.date.issued | 2012 | |
| dc.identifier.citation | Zhang, X. 2012. A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems. Applied Mathematics Letters. 25: pp. 2359-2364. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/5875 | |
| dc.description.abstract |
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]. | |
| dc.publisher | Elsevier | |
| dc.relation.uri | http://www.sciencedirect.com/science/article/pii/S0893965912003291 | |
| dc.subject | Elliptic system | |
| dc.subject | Necessary and sufficient condition | |
| dc.subject | Large solution | |
| dc.subject | Entire solution | |
| dc.title | A necessary and sufficient condition for the existence of large solutions to ‘mixed’ type elliptic systems | |
| dc.type | Journal Article | |
| dcterms.source.volume | 25 | |
| dcterms.source.startPage | 2359 | |
| dcterms.source.endPage | 2364 | |
| dcterms.source.issn | 0893-9659 | |
| dcterms.source.title | Applied Mathematics Letters | |
| curtin.accessStatus | Fulltext not available |