On a fourth order elliptic equation with supercritical exponent

被引：0
作者：
Bouh, Kamal Ould [1 ]
机构：
[1] Taibah Univ, Dept Math, Almadinah Almunawwarah, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
nonlinear problem; critical exponent; sign-changing solutions; bubble-tower solution; SIGN-CHANGING SOLUTIONS; CRITICAL SOBOLEV EXPONENT; NONLINEAR PROBLEM; CRITICAL GROWTH; EXISTENCE; INFINITY;
D O I：
10.1186/1687-1847-2014-319
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the semi-linear elliptic problem involving nearly critical exponent (P-epsilon): Delta(2)u = vertical bar u vertical bar(8/(n-4)+epsilon) u in Omega, Delta u = u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-n, n >= 5, and epsilon is a positive real parameter. We show that, for epsilon small, (P-epsilon) has no sign-changing solutions with low energy which blow up at exactly three points. Moreover, we prove that (P-epsilon) has no bubble-tower sign-changing solutions.
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页数：14
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