APPLICATIONS OF CRITICAL POINT THEOREMS TO NONLINEAR BEAM PROBLEMS

• Journal title : Honam Mathematical Journal
• Volume 29, Issue 1,  2007, pp.19-40
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2007.29.1.019
Title & Authors
APPLICATIONS OF CRITICAL POINT THEOREMS TO NONLINEAR BEAM PROBLEMS
Choi, Q-Heung; Jin, Ying-Hua; Choi, Kyung-Pyo;

Abstract
Let L be the differential operator, Lu = $\small{u_{tt}+u_{xxxx}}$. We consider nonlinear beam equations, Lu + $\small{bu^+}$ = j, in H, where H is the Hilbert space spanned by eigenfunctions of L. We reveal the existence of multiple solutions of the nonlinear beam problems by critical point theorems.
Keywords
nonlinear beam problem;critical point theorem;eigenfunction;
Language
English
Cited by
1.
Existence of infinitely many solutions of a beam equation with non-monotone nonlinearity, Nonlinear Analysis: Real World Applications, 2017, 33, 181
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