Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian

被引：5

作者：

Freire, Igor Leite ^{[1
]}

Faleiros, Antonio Candido ^{[1
]}

机构：

[1] Univ Fed Abc, Ctr Matemat Computacao & Cognicao, BR-09210170 Santo Andre, SP, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 11期

关键词：

Infinity Laplacian; Aronsson equation; Lie point symmetry; Invariant solutions; WAVE-EQUATION;

D O I：

10.1016/j.na.2011.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the classical Lie method we obtain the full Lie point symmetry group of the Aronsson equation in two independent variables. Some group invariant solutions of this equation are found and a conjecture on the Lie point symmetry group of the Aronsson equation in R-n is presented. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：3478 / 3486

页数：9

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