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Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions
dc.contributor.authorSmoller, Joel A.en_US
dc.contributor.authorWasserman, Arthur G.en_US
dc.date.accessioned2006-09-11T17:48:46Z
dc.date.available2006-09-11T17:48:46Z
dc.date.issued1986-09en_US
dc.identifier.citationSmoller, Joel A.; Wasserman, Arthur G.; (1986). "Symmetry-breaking for solutions of semilinear elliptic equations with general boundary conditions." Communications in Mathematical Physics 105(3): 415-441. <http://hdl.handle.net/2027.42/46464>en_US
dc.identifier.issn0010-3616en_US
dc.identifier.issn1432-0916en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/46464
dc.description.abstractWe study the bifurcation of radially symmetric solutions of Δ+ f ( u )=0 on n -balls, into asymmetric ones. We show that if u satisfies homogeneous Neumann boundary conditions, the asymmetric components in the kernel of the linearized operators can have arbitrarily high dimension. For general boundary conditions, we prove some theorems which give bounds on the dimensions of the set of asymmetric solutions, and on the structure of the kernels of the linearized operators.en_US
dc.format.extent1565198 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.subject.otherQuantum Physicsen_US
dc.subject.otherRelativity and Cosmologyen_US
dc.subject.otherMathematical and Computational Physicsen_US
dc.subject.otherPhysicsen_US
dc.subject.otherQuantum Computing, Information and Physicsen_US
dc.subject.otherNonlinear Dynamics, Complex Systems, Chaos, Neural Networksen_US
dc.subject.otherStatistical Physicsen_US
dc.titleSymmetry-breaking for solutions of semilinear elliptic equations with general boundary conditionsen_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, University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumDepartment of Mathematics, University of Michigan, 48109-1003, Ann Arbor, MI, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/46464/1/220_2005_Article_BF01205935.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF01205935en_US
dc.identifier.sourceCommunications in Mathematical Physicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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