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

页码：155 / 166

页数：12

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