Symmetry-breaking at positive solutions

Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for su...
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Gespeichert in:

Autor*in:	Vanderbauwhede, A. [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	1987

Schlagwörter:	Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary

Anmerkung:	© Birkhäuser Verlag 1987

Übergeordnetes Werk:	Enthalten in: Zeitschrift für angewandte Mathematik und Physik - Birkhäuser-Verlag, 1950, 38(1987), 2 vom: März, Seite 315-326
Übergeordnetes Werk:	volume:38 ; year:1987 ; number:2 ; month:03 ; pages:315-326

Links:	Volltext

DOI / URN:	10.1007/BF00945416

Katalog-ID:	OLC2069600718

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allfields	10.1007/BF00945416 doi (DE-627)OLC2069600718 (DE-He213)BF00945416-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vanderbauwhede, A. verfasserin aut Symmetry-breaking at positive solutions 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1987 Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 38(1987), 2 vom: März, Seite 315-326 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:38 year:1987 number:2 month:03 pages:315-326 https://doi.org/10.1007/BF00945416 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 38 1987 2 03 315-326
spelling	10.1007/BF00945416 doi (DE-627)OLC2069600718 (DE-He213)BF00945416-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vanderbauwhede, A. verfasserin aut Symmetry-breaking at positive solutions 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1987 Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 38(1987), 2 vom: März, Seite 315-326 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:38 year:1987 number:2 month:03 pages:315-326 https://doi.org/10.1007/BF00945416 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 38 1987 2 03 315-326
allfields_unstemmed	10.1007/BF00945416 doi (DE-627)OLC2069600718 (DE-He213)BF00945416-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vanderbauwhede, A. verfasserin aut Symmetry-breaking at positive solutions 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1987 Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 38(1987), 2 vom: März, Seite 315-326 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:38 year:1987 number:2 month:03 pages:315-326 https://doi.org/10.1007/BF00945416 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 38 1987 2 03 315-326
allfieldsGer	10.1007/BF00945416 doi (DE-627)OLC2069600718 (DE-He213)BF00945416-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vanderbauwhede, A. verfasserin aut Symmetry-breaking at positive solutions 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1987 Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 38(1987), 2 vom: März, Seite 315-326 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:38 year:1987 number:2 month:03 pages:315-326 https://doi.org/10.1007/BF00945416 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 38 1987 2 03 315-326
allfieldsSound	10.1007/BF00945416 doi (DE-627)OLC2069600718 (DE-He213)BF00945416-p DE-627 ger DE-627 rakwb eng 530 510 VZ Vanderbauwhede, A. verfasserin aut Symmetry-breaking at positive solutions 1987 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1987 Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary Enthalten in Zeitschrift für angewandte Mathematik und Physik Birkhäuser-Verlag, 1950 38(1987), 2 vom: März, Seite 315-326 (DE-627)129474185 (DE-600)203013-5 (DE-576)014852039 0044-2275 nnns volume:38 year:1987 number:2 month:03 pages:315-326 https://doi.org/10.1007/BF00945416 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_59 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2027 GBV_ILN_2088 GBV_ILN_2110 GBV_ILN_2333 GBV_ILN_2409 GBV_ILN_4012 GBV_ILN_4029 GBV_ILN_4046 GBV_ILN_4082 GBV_ILN_4103 GBV_ILN_4126 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4313 GBV_ILN_4315 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4323 GBV_ILN_4700 AR 38 1987 2 03 315-326
language	English
source	Enthalten in Zeitschrift für angewandte Mathematik und Physik 38(1987), 2 vom: März, Seite 315-326 volume:38 year:1987 number:2 month:03 pages:315-326
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author	Vanderbauwhede, A.
spellingShingle	Vanderbauwhede, A. ddc 530 misc Boundary Condition misc Mathematical Method misc Dirichlet Boundary misc Dirichlet Boundary Condition misc Elliptic Boundary Symmetry-breaking at positive solutions
authorStr	Vanderbauwhede, A.
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topic_title	530 510 VZ Symmetry-breaking at positive solutions Boundary Condition Mathematical Method Dirichlet Boundary Dirichlet Boundary Condition Elliptic Boundary
topic	ddc 530 misc Boundary Condition misc Mathematical Method misc Dirichlet Boundary misc Dirichlet Boundary Condition misc Elliptic Boundary
topic_unstemmed	ddc 530 misc Boundary Condition misc Mathematical Method misc Dirichlet Boundary misc Dirichlet Boundary Condition misc Elliptic Boundary
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title	Symmetry-breaking at positive solutions
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title_full	Symmetry-breaking at positive solutions
author_sort	Vanderbauwhede, A.
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doi_str_mv	10.1007/BF00945416
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title_sort	symmetry-breaking at positive solutions
title_auth	Symmetry-breaking at positive solutions
abstract	Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. © Birkhäuser Verlag 1987
abstractGer	Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. © Birkhäuser Verlag 1987
abstract_unstemmed	Abstract We consider symmetry-breaking bifurcations at positive solutions of semilinear elliptic boundary value problems in a ball, with Dirichlet boundary conditions. We prove that symmetry-breaking can only occur by bifurcation of axisymmetric solutions. We also obtain sufficient conditions for such symmetry-breaking. © Birkhäuser Verlag 1987
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title_short	Symmetry-breaking at positive solutions
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