CONCENTRATION PHENOMENA FOR A FOURTH-ORDER EQUATION ON Rn

被引：4

作者：

Ben Ayed, Mohamed ^{[1
]}

Selmi, Abdelbaki ^{[2
]}

机构：

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

[2] Fac Sci Bizerte, Dept Math, Zarzouna 7021, Bizerte, Tunisia

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2009年 / 242卷 / 01期

关键词：

sign-changing solution; critical Sobolev exponent; biharmonic operator; CRITICAL SOBOLEV EXPONENT; NONLINEAR ELLIPTIC EQUATION; CRITICAL-POINTS; EXISTENCE; INFINITY;

D O I：

10.2140/pjm.2009.242.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem Delta(2)u = K(y)vertical bar u vertical bar(8/(n-4))u in R-n with u, Delta u -> 0 as vertical bar y vertical bar -> infinity, where K is a bounded and continuous function on R-n, n >= 5. Our aim is to construct infinitely many solutions which concentrate around k points, k >= 2, under some appropriate conditions on K. Moreover we prove that there is no solution which concentrates at one point.

引用

页码：1 / 32

页数：32

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