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Heteroclinic solutions of singular quasilinear bistable equations

2017-02Journal article Restricted access
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dc.contributor.authorBonheure, Denis
dc.contributor.authorCoelho, Maria Isabel Esteves
dc.contributor.authorNYS, Manon
dc.date.accessioned2017-11-17T10:58:31Z
dc.date.available2017-11-17T10:58:31Z
dc.date.issued2017-02
dc.description.abstractIn this note we consider the action functional integral(R x ω) (1-root [1-(|∇u|)^2] + W(u) dx¯), where W is a double well potential and ω is a bounded domain of RN-1. We prove existence, one-dimensionality and uniqueness (up to translations) of a smooth minimizing phase transition between the two stable states u=-1 and u=1. The question of existence of at least one minimal heteroctinic connection for the non-autonomous model integral(R) (1-root [1-(|u’|)^2]+a(t)W(u))dt is also addressed. For this functional, we look for the possible assumptions on a(t) ensuring the existence of a minimizer.pt_PT
dc.description.sponsorshipMIS F.4508.14
dc.description.sponsorshipT.1110.14F
dc.description.sponsorshipAUWB-2012-12/17-ULB1-IAPAS
dc.description.sponsorshipSFRH/BD/61484/2009
dc.description.sponsorship339958
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBONHEURE, Denis; COELHO, Maria Isabel Esteves; NYS, Manon - Heteroclinic solutions of singular quasilinear bistable equations. NODEA - Nonlinear Differential Equations and Applications. ISSN 1021-9722. Vol. 24, N.º 1 (2017), pp. 1-29pt_PT
dc.identifier.doi10.1007/s00030-016-0418-6pt_PT
dc.identifier.issn1021-9722
dc.identifier.issn1420-9004
dc.identifier.urihttp://hdl.handle.net/10400.21/7539
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Publishing Companypt_PT
dc.relationAUWB-2012-12/17-ULB1-IAPASpt_PT
dc.relationPROBLEMAS NÃO LINEARES DE VALORES NA FRONTEIRA COM O OPERADOR DE CURVATURA PRESCRITA
dc.relationComplex Patterns for Strongly Interacting Dynamical Systems
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007%2Fs00030-016-0418-6.pdfpt_PT
dc.subjectMean curvature operator in Lorentz–Minkowski spacept_PT
dc.subjectFree energy functionalpt_PT
dc.subjectPhase transitionpt_PT
dc.subjectIncreasing rearrangementpt_PT
dc.subjectRigiditypt_PT
dc.subjectSymmetrypt_PT
dc.titleHeteroclinic solutions of singular quasilinear bistable equationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitlePROBLEMAS NÃO LINEARES DE VALORES NA FRONTEIRA COM O OPERADOR DE CURVATURA PRESCRITA
oaire.awardTitleComplex Patterns for Strongly Interacting Dynamical Systems
oaire.awardURIinfo:eu-repo/grantAgreement/FCT//SFRH%2FBD%2F61484%2F2009/PT
oaire.awardURIinfo:eu-repo/grantAgreement/EC/FP7/339958/EU
oaire.citation.issue1pt_PT
oaire.citation.titleNonlinear Differential Equations and Applicationspt_PT
oaire.citation.volume24pt_PT
oaire.fundingStreamFP7
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100008530
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameEuropean Commission
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isProjectOfPublicationb5735276-ffde-4ae4-a2bf-69b3f7baede3
relation.isProjectOfPublication89dface1-fa86-44e6-b1c4-6b275b59411b
relation.isProjectOfPublication.latestForDiscovery89dface1-fa86-44e6-b1c4-6b275b59411b

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