Two positive solutions for nonlinear fourth-order elastic beam equations

被引：4
|
作者：
D'Agui, Giuseppina [1 ]
Di Bella, Beatrica [1 ]
Winkert, Patrick [2 ]
机构：
[1] Univ Messina, Dept Engn, I-98166 Messina, Italy
[2] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2019年 / 37期
关键词：
critical points; fourth-order; elastic beam equation; BOUNDARY-VALUE PROBLEM; NON-DIFFERENTIABLE FUNCTIONS; CRITICAL-POINTS; EXISTENCE; THEOREM; MULTIPLICITY;
D O I：
10.14232/ejqtde.2019.1.37
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to study the existence of at least two non-trivial solutions to a boundary value problem for fourth-order elastic beam equations given by u((4)) + Au '' + Bu = lambda f(x, u) in [0,1], u(0) = u(1) = 0, u ''(0) = u ''(1) = 0, under suitable conditions on the nonlinear term on the right hand side. Our approach is based on variational methods, and in particular, on an abstract two critical points theorem given for differentiable functionals defined on a real Banach space.
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页码：1 / 12
页数：12
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