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

页码：86 / 98

页数：13

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