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dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.date.accessioned2013-04-16T10:30:02Z
dc.date.available2013-04-16T10:30:02Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11220
dc.language.isoenen
dc.subjectbranches of solutionsen
dc.subjectelliptic equationsen
dc.subjectformal expansionen
dc.subjectbifurcationen
dc.subjectPöschl-Teller operatoren
dc.subjectsymmetry breakingen
dc.subjectradial symmetryen
dc.subjectEmden-Fowler transformationen
dc.subjectextremal functionsen
dc.subjectCaffarelli-Kohn-Nirenberg inequalityen
dc.subjectHardy-Sobolev inequalityen
dc.subject.ddc515en
dc.titleBranches of non-symmetric critical points and symmetry breaking in nonlinear elliptic partial differential equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper we study the bifurcation of branches of non-symmetric solutions from the symmetric branch of solutions to the Euler-Lagrange equations satisfied by optimal functions in functional inequalities of Caffarelli-Kohn-Nirenberg type. We establish the asymptotic behavior of the branch for large values of the bifurcation parameter. We also perform a formal expansion in a neighborhood of the first bifurcation point on the branch of symmetric solutions, that characterizes the local behavior of the non-symmetric branch. These results are compatible with earlier numerical and theoretical observations. Further numerical results allow us to distinguish two global scenarii. This sheds a new light on the symmetry breaking phenomenon.en
dc.relation.isversionofjnlnameNonlinearity
dc.relation.isversionofjnlvol27
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpagesn°435
dc.relation.isversionofdoihttp://dx.doi.org/10.1088/0951-7715/27/3/435
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00812996en
dc.relation.isversionofjnlpublisherIOP Science
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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