EXISTENCE RESULTS FOR A BOUNDARY VALUE PROBLEM INVOLVING A FOURTH-ORDER ELASTIC BEAM EQUATION

被引：5

作者：

Heidarkhani, Shapour ^{[1
]}

Gharehgazlouei, Fariba ^{[1
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2019年

关键词：

Fourth-order boundary value problem; Three solutions; Critical point; Variational methods; MOUNTAIN PASS THEOREM; POSITIVE SOLUTIONS; MULTIPLICITY;

D O I：

10.23952/jnfa.2019.28

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fourth-order two-point boundary value problems are useful for material mechanics since they usually characterize the deflection of an elastic beam. In this paper, we establish the multiplicity results for a fourth-order differential equation involving Lipschitz non-linearity which models beams on elastic foundations. The approach is based on variational methods and critical point theory.

引用

页数：15

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