Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations
dc.contributor.author | Wasserman, Arthur G. | en_US |
dc.contributor.author | Smoller, Joel A. | en_US |
dc.date.accessioned | 2006-09-11T17:53:32Z | |
dc.date.available | 2006-09-11T17:53:32Z | |
dc.date.issued | 1984-06 | en_US |
dc.identifier.citation | Smoller, 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.issn | 0010-3616 | en_US |
dc.identifier.issn | 1432-0916 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/46528 | |
dc.description.abstract | We 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.extent | 1720597 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag | en_US |
dc.subject.other | Statistical Physics | en_US |
dc.subject.other | Quantum Computing, Information and Physics | en_US |
dc.subject.other | Quantum Physics | en_US |
dc.subject.other | Physics | en_US |
dc.subject.other | Mathematical and Computational Physics | en_US |
dc.subject.other | Nonlinear Dynamics, Complex Systems, Chaos, Neural Networks | en_US |
dc.subject.other | Relativity and Cosmology | en_US |
dc.title | Existence, uniqueness, and nondegeneracy of positive solutions of semilinear elliptic equations | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationum | Department of Mathematics, The University of Michigan, 48109-1003, Ann Arbor, MI, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/46528/1/220_2005_Article_BF01468138.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01468138 | en_US |
dc.identifier.source | Communications in Mathematical Physics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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