Non-trivial solutions for nonlinear fourth-order elastic beam equations

被引：53
作者：
Bonanno, Gabriele [1 ]
Di Bella, Beatrice [1 ]
O'Regan, Donal [2 ]
机构：
[1] Univ Messina, Dept Sci Engn & Architecture, Math Sect, Fac Engn, I-98166 Messina, Italy
[2] Natl Univ Ireland, Dept Math, Galway, Ireland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 04期
关键词：
Fourth-order equations; Critical points; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; EXISTENCE; MULTIPLICITY; PARAMETERS;
D O I：
10.1016/j.camwa.2011.06.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence of at least one non-trivial solution to a boundary value problem for fourth-order elastic beam equations, under a non-standard growth condition of the nonlinear term, is established. Our approach is based on a local minimum theorem for differentiable functionals. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1862 / 1869
页数：8
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