Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/80933
Type: Artigo
Title: Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
Author: Bozhokov, Yuri
Martins, Antonio Carlos Gilli
Abstract: We consider a general class of quasilinear ordinary differential equations which contains, in particular, the Lane-Emden equation, the Liouville equation, the Poisson-Boltzmann equation, equations involving the radial forms of the Laplace, p-Laplace and the k-Hessian operators. The Lie point symmetry group of these equations is calculated. Then the corresponding Noether symmetries are found and used to obtain first integrals and exact solutions of the equations with critical exponents. (C) 2004 Elsevier Ltd. All rights reserved.
We consider a general class of quasilinear ordinary differential equations which contains, in particular, the Lane-Emden equation, the Liouville equation, the Poisson-Boltzmann equation, equations involving the radial forms of the Laplace, p-Laplace and t
Subject: Equações diferenciais ordinárias
Simetrias de Lie
Sistema de Lane-Emden
Equação de Laplace
Expoentes críticos
Country: Reino Unido
Editor: Elsevier
Citation: Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 57, n. 41795, n. 773, n. 793, 2004.
Rights: Fechado
Identifier DOI: 10.1016/j.na.2004.03.016
Address: https://www.sciencedirect.com/science/article/pii/S0362546X04000847
Date Issue: 2004
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
000222293300009.pdf355.69 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.