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

DOI10.1016/j.na.2011.03.003zbMath1430.35008OpenAlexW2007974358WikidataQ115343034 ScholiaQ115343034MaRDI QIDQ540227

Antonio Cândido Faleiros, Igor Leite Freire

Publication date: 1 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.003

zbMATH Keywords

invariant solutionsinfinity LaplacianLie point symmetryAronsson equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

Explicit \(\infty\)-harmonic functions in high dimensions ⋮ Solutions for equations involving the infinity-Laplacian ⋮ An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws ⋮ A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian

Uses Software

• SYM

Cites Work

• Unnamed Item
• Unnamed Item
• On the paper ``symmetry analysis of wave equation on sphere by H. Azad and M. T. Mustafa
• Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
• Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian
• On Aronsson equation and deterministic optimal control
• Symmetry analysis of wave equation on sphere
• Inhomogeneous infinity Laplace equation
• Group classification of semilinear Kohn-Laplace equations
• Extension of functions satisfying Lipschitz conditions
• On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
• Conservation Laws for Self-Adjoint First-Order Evolution Equation
• A PDE Perspective of the Normalized Infinity Laplacian
• Conservations laws for critical Kohn-Laplace equations on the Heisenberg group
• Invariants of real low dimension Lie algebras
• Subalgebras of real three- and four-dimensional Lie algebras
• The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics
• Various Properties of Solutions of the Infinity-Laplacian Equation
• Symmetries and differential equations

This page was built for publication: Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian