A BIHARMONIC EQUATION WITH SINGULAR NONLINEARITY

被引：12
作者：
Ghergu, Marius [1 ]
机构：
[1] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2012年 / 55卷
关键词：
biharmonic operator; singular nonlinearity; Green function; integral equation; GREEN-FUNCTION; POLYHARMONIC OPERATORS; POSITIVITY;
D O I：
10.1017/S0013091510000234
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the biharmonic equation Delta(2)u = u(-alpha), 0 < alpha < 1, in a smooth and bounded domain Omega subset of R-n, n >= 2, subject to Dirichlet; boundary conditions. Under sonic suitable assumptions on Omega related to the positivity of the Green function for the biharmonic operator, we prove the existence and uniqueness of a solution.
引用
收藏
页码：155 / 166
页数：12
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