On the Fucik spectrum and a resonance problem for the <i>p</i>-Laplacian with a nonlinear boundary condition

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dc.contributor.authorMartinez, SR
dc.contributor.authorRossi, JD
dc.date.accessioned2025-01-21T01:07:28Z
dc.date.available2025-01-21T01:07:28Z
dc.date.issued2004
dc.description.abstractIn this paper we prove that there exists a first curve of the Fucik spectrum of the problem Deltapu = \u\(p-2)u in Omega with a nonlinear boundary condition given by \delu\(p-2)partial derivativeu/partial derivativev=alpha(u(+))(p-1)-beta(u(-))(p-1) on the boundary of the domain. We also prove that there exists a sequence of curves of the Fucik spectrum which exist locally in the neighborhood of suitable eigenvalues of the p-Laplacian with a nonlinear boundary condition. Finally, we study a resonance problem with respect to the Fucik spectrum. (C) 2004 Published by Elsevier Ltd.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.na.2004.07.039
dc.identifier.eissn1873-5215
dc.identifier.issn0362-546X
dc.identifier.urihttps://doi.org/10.1016/j.na.2004.07.039
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/96334
dc.identifier.wosidWOS:000225181000001
dc.issue.numero6
dc.language.isoen
dc.pagina.final848
dc.pagina.inicio813
dc.revistaNonlinear analysis-theory methods & applications
dc.rightsacceso restringido
dc.subjectp-Laplacian
dc.subjectnonlinear boundary conditions
dc.subjectresonance
dc.titleOn the Fucik spectrum and a resonance problem for the <i>p</i>-Laplacian with a nonlinear boundary condition
dc.typeartículo
dc.volumen59
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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