Boundary singularities of N-harmonic functions

被引：5

作者：

Borghol, Rouba ^{[1
]}

Veron, Laurent ^{[1
]}

机构：

[1] Univ Tours, Fac Sci, CNRS, Lab Math & Phys Theor,UMR 6083, F-37200 Tours, France

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 06期

关键词：

boundary Harnack inequalities; conformal transformations; Hopf boundary lemma; maximum principle; separable solutions; singularities;

D O I：

10.1080/03605300600910415

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the behaviour near a boundary point a of a positive N-harmonic function u which vanishes on the boundary except at a. The conformal invariance of the equation plays a fundamental role in this description. By using spherical variables, we construct a new series of separable p-harmonic functions in IRN.

引用

页码：1001 / 1015

页数：15

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