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Abstract:

In this paper we prove that there exists a first curve of the Fučik spectrum of the problem Δpu = |u|p-2u in Ω with a nonlinear boundary condition given by |∇u| p-2∂u/∂v=x(u+)p-1- β(u -)P-1 on the boundary of the domain. We also prove that there exists a sequence of curves of the Fučik 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 Fučik spectrum. © 2004 Published by Elsevier Ltd.

Registro:

Documento: Artículo
Título:On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition
Autor:Martinez, S.R.; Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN UBA 1428, Buenos Aires, Argentina
Departamento de Matemática, Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Palabras clave:Nonlinear boundary conditions; P-Laplacian; Resonance; Boundary conditions; Differential equations; Eigenvalues and eigenfunctions; Integral equations; Mathematical operators; Resonance; Nonlinear boundary conditions; p-Laplacian; Resonance problems; Problem solving
Año:2004
Volumen:59
Número:6
Página de inicio:813
Página de fin:848
DOI: http://dx.doi.org/10.1016/j.na.2004.07.039
Título revista:Nonlinear Analysis, Theory, Methods and Applications
Título revista abreviado:Nonlinear Anal Theory Methods Appl
ISSN:0362546X
CODEN:NOAND
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v59_n6_p813_Martinez

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Citas:

---------- APA ----------
Martinez, S.R. & Rossi, J.D. (2004) . On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition. Nonlinear Analysis, Theory, Methods and Applications, 59(6), 813-848.
http://dx.doi.org/10.1016/j.na.2004.07.039
---------- CHICAGO ----------
Martinez, S.R., Rossi, J.D. "On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications 59, no. 6 (2004) : 813-848.
http://dx.doi.org/10.1016/j.na.2004.07.039
---------- MLA ----------
Martinez, S.R., Rossi, J.D. "On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition" . Nonlinear Analysis, Theory, Methods and Applications, vol. 59, no. 6, 2004, pp. 813-848.
http://dx.doi.org/10.1016/j.na.2004.07.039
---------- VANCOUVER ----------
Martinez, S.R., Rossi, J.D. On the Fučik spectrum and a resonance problem for the p-Laplacian with a nonlinear boundary condition. Nonlinear Anal Theory Methods Appl. 2004;59(6):813-848.
http://dx.doi.org/10.1016/j.na.2004.07.039