EXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS
| dc.citation.epage | 1515 | en_US |
| dc.citation.issue | 6 | en_US |
| dc.citation.spage | 1500 | en_US |
| dc.citation.volume | 22 | en_US |
| dc.contributor.author | LIN, SS | en_US |
| dc.contributor.author | PAI, FM | en_US |
| dc.contributor.department | 交大名義發表 | zh_TW |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | National Chiao Tung University | en_US |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:05:07Z | |
| dc.date.available | 2014-12-08T15:05:07Z | |
| dc.date.issued | 1991-11-01 | en_US |
| dc.description.abstract | The existence and multiplicity of positive radial solutions of equation DELTA-u + f(u) = 0 is studied in annular domains in R(n), n greater-than-or-equal-to 2. It is proven that if f(0) greater-than-or-equal-to 0,f is somewhere negative in (0, infinity) and superlinear at infinity, then there is a large positive radial solutions on all annuli. If f(0) < 0 and satisfies certain conditions, then the equation has no solution if the annuli are too wide. Multiplicity results are also obtained when f has many humps with positive areas. | en_US |
| dc.identifier.doi | 10.1137/0522097 | en_US |
| dc.identifier.issn | 0036-1410 | en_US |
| dc.identifier.journal | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1137/0522097 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/3651 | |
| dc.language.iso | en_US | en_US |
| dc.subject | ELLIPTIC | en_US |
| dc.subject | SEMILINEAR | en_US |
| dc.subject | POSITIVE RADIAL SOLUTION | en_US |
| dc.subject | ANNULAR DOMAIN | en_US |
| dc.title | EXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS | en_US |
| dc.type | Article | en_US |