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

id	paper:paper_0362546X_v60_n2_p389_Amster
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spelling	paper:paper_0362546X_v60_n2_p389_Amster2023-06-08T15:35:19Z An n-dimensional pendulum-like equation via topological methods Amster, Pablo Gustavo De Napoli, Pablo Luis Mariani, María Cristina Coincidence degree methods Elliptic problems Boundary conditions Functions Mathematical models Problem solving Theorem proving Bounded domains coincidence degree methods Elliptic problems Topological methods Topology 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. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:De Nápoli, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2005 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
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Coincidence degree methods Elliptic problems Boundary conditions Functions Mathematical models Problem solving Theorem proving Bounded domains coincidence degree methods Elliptic problems Topological methods Topology
spellingShingle	Coincidence degree methods Elliptic problems Boundary conditions Functions Mathematical models Problem solving Theorem proving Bounded domains coincidence degree methods Elliptic problems Topological methods Topology Amster, Pablo Gustavo De Napoli, Pablo Luis Mariani, María Cristina An n-dimensional pendulum-like equation via topological methods
topic_facet	Coincidence degree methods Elliptic problems Boundary conditions Functions Mathematical models Problem solving Theorem proving Bounded domains coincidence degree methods Elliptic problems Topological methods Topology
description	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.
author	Amster, Pablo Gustavo De Napoli, Pablo Luis Mariani, María Cristina
author_facet	Amster, Pablo Gustavo De Napoli, Pablo Luis Mariani, María Cristina
author_sort	Amster, Pablo Gustavo
title	An n-dimensional pendulum-like equation via topological methods
title_short	An n-dimensional pendulum-like equation via topological methods
title_full	An n-dimensional pendulum-like equation via topological methods
title_fullStr	An n-dimensional pendulum-like equation via topological methods
title_full_unstemmed	An n-dimensional pendulum-like equation via topological methods
title_sort	n-dimensional pendulum-like equation via topological methods
publishDate	2005
url	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
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An n-dimensional pendulum-like equation via topological methods

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