Browsing by Author "Martinez, SR"

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    On the Fucik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
    (2004) Martinez, SR; Rossi, JD
    In 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.