Martin boundary associated with a system of PDE

被引：0

作者：

Benyaiche, Allami ^{[1
]}

Ghiate, Salma ^{[1
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, BP 133, Kenitra, Morocco

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2006年 / 47卷 / 03期

关键词：

Martin boundary; biharmonic functions; coupled partial differential equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. Delta(2)phi= 0) and for non negative solutions of the equation Delta(2)phi = phi.

引用

页码：399 / 425

页数：27

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