应用数学2013，Vol.26Issue(2)：431-437,7.
具临界位势和权函数的非线性双调和问题
The Nonlinear Biharmonic Problem with Critical Potential and Weight
摘要
Abstract
In this paper,it is established the existence of nontrivial solution for biharmonic problem with critical potential and weight in dimension 4:{Δ2u =μu/|x|4ln2|R/x|+λV(x)u+f(x,u),x ∈ Ω,u=（e）u/(e)ν=0,x∈ (e)Ω,where Ω(∈)R4 is a bounded domain including the origin,R ＞ 0 is a constant,μ ＞ 0 is a real parameter,v is the unit outer normal vector on (e)Ω.关键词
双调和问题/临界位势/非平凡解Key words
Biharmonic problem / Critical potential/ Nontrivial solution分类
数理科学引用本文复制引用
A.A.Abdelgadir,李用声,王友军..具临界位势和权函数的非线性双调和问题[J].应用数学,2013,26(2):431-437,7.基金项目
Supported by the NSFC (1117116,11201154),and the Research Fund for the Doctoral Program of Higher Education.of China(D1120300) （1117116,11201154）
