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Existence and location results for hinged beam equations with unbounded nonlinearities

✍ Scribed by J. Fialho; F. Minhós

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
305 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

This work presents some existence, non-existence and location results for the problem composed by the fourth-order fully nonlinear equation

and s is a real parameter, with the Lidstone boundary conditions

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.

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