ON THE NON-VANISHING PROPERTY FOR REAL ANALYTIC SOLUTIONS OF THE p-LAPLACE EQUATION

被引：8

作者：

Tkachev, Vladimir G. ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 06期

关键词：

p-Laplace equation; non-associative algebras; idempotents; Peirce decompositions; p-harmonic functions; SINGULAR SOLUTIONS;

D O I：

10.1090/proc/12912

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using a non-associative algebra argument, we prove that u 0 is the only cubic homogeneous polynomial solution to the p-Laplace equation div vertical bar Du vertical bar(p-2)Du(x) = 0 in R-n for any n >= 2 and p is not an element of {1, 2}.

引用

页码：2375 / 2382

页数：8

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