Existence for a semilinear sixth-order ODE

被引：13
|
作者：
Gyulov, Tihomir
Morosanu, Gheorghe
Tersian, Stepan
机构：
[1] Univ Rousse, Ctr Appl Math & Informat, Rousse 7017, Bulgaria
[2] Cent European Univ, Dept Math & Its Applicat, H-1051 Budapest, Hungary
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 321卷 / 01期
关键词：
semilinear sixth-order ODE; variational method; Brezis-Nirenberg's linking theorems;
D O I：
10.1016/j.jmaa.2005.08.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence and multiplicity of nontrivial solutions for a boundary value problem associated with a semilinear sixth-order ordinary differential equation arising in the study of spatial patterns. Our treatment is based on variational tools, including two Brezis-Nirenberg's linking theorems. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：86 / 98
页数：13
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