On a fourth order elliptic equation with critical nonlinearity in dimension six

被引：23

作者：

Ben Ayed, M ^{[1
]}

Hammami, M ^{[1
]}

机构：

[1] Fac Sci Sfax, Dept Math, Sfax, Tunisia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 05期

关键词：

fourth order elliptic equation; critical Sobolev exponent; critical point at infinity;

D O I：

10.1016/j.na.2005.05.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of the following nonlinear elliptic problem: Delta(2)u = Ku(5) , u > 0 in Omega, u = Delta u = 0 on delta Omega, where K is a positive function and Omega is a bounded and smooth domain in R-6. We prove a version of Morse Lemma at infinity for this problem. Using this Morse Lemma at infinity, we characterize the critical points at infinity of the associated functional and we give an existence result. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：924 / 957

页数：34

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