On topological degree for potential operators of class (S)+

被引：6

作者：

Duc, DM ^{[1
]}

Le Luc, N ^{[1
]}

Nam, LQ ^{[1
]}

Tuyen, TT ^{[1
]}

机构：

[1] Natl Univ Hochiminh City, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 55卷 / 7-8期

关键词：

topological degree; potential operators; buckling; shells;

D O I：

10.1016/j.na.2003.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend some results of Amann about the topological degree for compact potential vector fields to potential operators of class (S)(+). Using these results, we obtain the existence of a third buckled state of a thin elastic shell in R-3 even in the case when the gradient of the potential energy of the shell might not be compact. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：951 / 968

页数：18

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