The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term
dc.contributor.author | Zhang, Xinguang | |
dc.contributor.author | Liu, L. | |
dc.date.accessioned | 2017-01-30T15:11:34Z | |
dc.date.available | 2017-01-30T15:11:34Z | |
dc.date.created | 2014-11-19T01:13:46Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Zhang, X. and Liu, L. 2010. The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term. Journal of Mathematical Analysis and Applications. 371 (1): pp. 300-308. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/44021 | |
dc.identifier.doi | 10.1016/j.jmaa.2010.05.029 | |
dc.description.abstract |
We show the existence and nonexistence of entire positive solutions for semilinear elliptic system with gradient term ?u+|?u|=p(|x|)f(u,v)?u+|?u|=p(|x|)f(u,v), ?v+|?v|=q(|x|)g(u,v)?v+|?v|=q(|x|)g(u,v) on RNRN, N?3N?3, provided that nonlinearities f and g are positive and continuous, the potentials p and q are continuous, c-positive and satisfy appropriate growth conditions at infinity. We find that entire large positive solutions fail to exist if f and g are sublinear and p and q have fast decay at infinity, while if f and g satisfy some growth conditions at infinity, and p, q are of slow decay or fast decay at infinity, then the system has infinitely many entire solutions, which are large or bounded. | |
dc.publisher | Academic Press | |
dc.subject | Bounded solution | |
dc.subject | Large solution | |
dc.subject | Entire solution | |
dc.subject | Semilinear elliptic problem | |
dc.title | The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term | |
dc.type | Journal Article | |
dcterms.source.volume | 371 | |
dcterms.source.number | 1 | |
dcterms.source.startPage | 300 | |
dcterms.source.endPage | 308 | |
dcterms.source.issn | 0022247X | |
dcterms.source.title | Journal of Mathematical Analysis and Applications | |
curtin.accessStatus | Open access via publisher |