An n-dimensional pendulum-like equation via topological methods

We study the elliptic boundary value problem Δu + g(u) = p(x) with nonlinear periodic-type boundary conditions. We prove the existence of a solution under a Landesman-Lazer-type condition. Moreover, using the method of upper and lower solutions we study a problem which concerns the range of the semi...

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Detalles Bibliográficos
Autores principales: Amster, Pablo Gustavo, De Napoli, Pablo Luis, Mariani, María Cristina
Publicado: 2005
Materias:
Coincidence degree methods
Elliptic problems
Boundary conditions
Functions
Mathematical models
Problem solving
Theorem proving
Bounded domains
coincidence degree methods
Topological methods
Topology
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v60_n2_p389_Amster
http://hdl.handle.net/20.500.12110/paper_0362546X_v60_n2_p389_Amster
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We study the elliptic boundary value problem Δu + g(u) = p(x) with nonlinear periodic-type boundary conditions. We prove the existence of a solution under a Landesman-Lazer-type condition. Moreover, using the method of upper and lower solutions we study a problem which concerns the range of the semilinear operator Su = Δu + g(u). © 2004 Elsevier Ltd. All rights reserved.

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