Positivity properties for the clamped plate boundary problem on the ellipse and strip

被引：1

作者：

Render, Hermann ^{[1
]}

Ghergu, Marius ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 8-9期

关键词：

Biharmonic operator; positive polynomial data; positive solutions; Fischer operator; MSC (2010) 35J40; 35J08; 31A30; 31B30; EQUATIONS; GOURSAT;

D O I：

10.1002/mana.201100045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The positivity preserving property for the biharmonic operator with Dirichlet boundary condition is investigated. We discuss here the case where the domain is an ellipse (that may degenerate to a strip) and the data is a polynomial function. We provide various conditions for which the positivity is preserved.

引用

页码：1052 / 1062

页数：11

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