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dc.contributor.authorLIN, SSen_US
dc.contributor.authorPAI, FMen_US
dc.date.accessioned2019-04-03T06:37:47Z-
dc.date.available2019-04-03T06:37:47Z-
dc.date.issued1991-11-01en_US
dc.identifier.issn0036-1410en_US
dc.identifier.urihttp://dx.doi.org/10.1137/0522097en_US
dc.identifier.urihttp://hdl.handle.net/11536/149097-
dc.description.abstractThe 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.language.isoen_USen_US
dc.subjectELLIPTICen_US
dc.subjectSEMILINEARen_US
dc.subjectPOSITIVE RADIAL SOLUTIONen_US
dc.subjectANNULAR DOMAINen_US
dc.titleEXISTENCE AND MULTIPLICITY OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINSen_US
dc.typeArticleen_US
dc.identifier.doi10.1137/0522097en_US
dc.identifier.journalSIAM JOURNAL ON MATHEMATICAL ANALYSISen_US
dc.citation.volume22en_US
dc.citation.issue6en_US
dc.citation.spage1500en_US
dc.citation.epage1515en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:A1991GK84200002en_US
dc.citation.woscount7en_US
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