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Title: Existence and location results for hinged beam equations with unbounded nonlinearities
Authors: Minhós, Feliz
Fialho, João
Keywords: Ambrosetti-Prodi equations
Lower and upper solutions
Issue Date: 2009
Publisher: Elsevier
Abstract: This work presents some existence, non-existence and location results for the problem composed by the fourth-order fully nonlinear equation u^4(x)= f(x,u(x),u'(x),u''(x),u'''(x))+ sp(x) for x in [0; 1], where f and p are continuous functions and s is a real parameter, with the Lidstone boundary conditions u(0)= u(1)=u''(0)=u''(1)=0. This problem models several phenomena, such as, the bending of an elastic beam simply supported at the endpoints. The arguments used apply a lower and upper solutions technique, a priori estimations and topological degree theory. In this paper we replace the usual bilateral Nagumo condition by some one-sided conditions, which enables us to consider unbounded nonlinearities.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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