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Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
dc.contributor.authorWasserman, Arthur G.en_US
dc.contributor.authorSmoller, Joel A.en_US
dc.date.accessioned2006-09-11T17:53:32Z
dc.date.available2006-09-11T17:53:32Z
dc.date.issued1984-06en_US
dc.identifier.citationSmoller, Joel A.; Wasserman, Arthur G.; (1984). "Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations." Communications in Mathematical Physics 95(2): 129-159. <http://hdl.handle.net/2027.42/46528>en_US
dc.identifier.issn0010-3616en_US
dc.identifier.issn1432-0916en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46528
dc.description.abstractWe study positive solutions of the Dirichlet problem: Δ u ( x )+ f ( u ( x ))=0, x ∈ D n , u ( x )=0, x ∈∂ D n , where D n is an n -ball. We find necessary and sufficient conditions for solutions to be nondegenerate. We also give some new existence and uniqueness theorems.en_US
dc.format.extent1720597 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherStatistical Physicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.titleExistence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equationsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumDepartment of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46528/1/220_2005_Article_BF01468138.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01468138en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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