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

Autor:	Antonio Cândido Faleiros, Igor Leite Freire
Rok vydání:	2011
Předmět:	Applied Mathematics Simple Lie group Mathematical analysis Mathematics::Analysis of PDEs Adjoint representation Lie group Lie point symmetry Adjoint representation of a Lie algebra Representation of a Lie group Lie theory Analysis Special unitary group Mathematical physics Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 74:3478-3486
ISSN:	0362-546X
DOI:	10.1016/j.na.2011.03.003
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::87f1d971ce6bc427eb26ca4d6d0c8902 https://doi.org/10.1016/j.na.2011.03.003 Zobrazit plný text záznamu Full Text from ScienceDirect