Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-11T10:43:31.106Z Has data issue: false hasContentIssue false
  • English
  • Français

Uniqueness and exact multiplicity of solutions for a class of fourth-order semilinear problems

Published online by Cambridge University Press:  12 July 2007

Philip Korman
Philip Korman
Affiliation:
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Using techniques of bifurcation theory, we give exact multiplicity and uniqueness results for the fourth-order Dirichlet problem, which describes deflection of an elastic beam, subjected to a nonlinear force, and clamped at the end points. The crucial part of this approach was to show positivity of non-trivial solutions of the corresponding linearized problem.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 134 , Issue 1 , February 2004 , pp. 179 - 190
Copyright
Copyright © Royal Society of Edinburgh 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)