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Type: Artigo de periódico
Title: Superlinear systems of second-order ODE's
Author: Figueiredo, DG
Ubilla, P
Abstract: We discuss the existence of positive solutions of the system -u '' = f (t, u, v, u', v) in (0, 1), -v '' = g(t, u, v, u', v') in (0, 1), u(0) = u(1) = V(0) = V(1) = 0 where the nonlinearities f and g satisfy a superlinearity condition at both 0 and infinity. Our main result is the proof of a priori bounds for the eventual solutions. As an application, we consider the Dirichlet problem in an annulus for systems of semilinear elliptic equations with nonlinearities depending on the gradient as well. As a second application, we consider fourth-order elastic beam equations with dependence also on the derivatives u', u '', u'''. (c) 2007 Elsevier Ltd. All rights reserved.
Subject: elliptic systems
annular domains
positive radial solutions
fixed points
topological degree
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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