Solutions for equations involving the infinity-Laplacian

DOI10.1007/s40819-016-0136-0zbMath1397.35008OpenAlexW2287694938MaRDI QIDQ1788204

Igor Leite Freire, Antonio Cândido Faleiros, Márcio Fabiano da Silva

Publication date: 8 October 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-016-0136-0

zbMATH Keywords

invariant solutionsinfinity LaplacianLie point symmetryAronsson equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Uses Software

• SYM

Cites Work

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• Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian
• Asymptotic behavior of viscosity solutions for a degenerate parabolic equation associated with the infinity-Laplacian
• Symmetry and integration methods for differential equations
• Degenerate homogeneous parabolic equations associated with the infinity-Laplacian
• Inhomogeneous infinity Laplace equation
• On the evolution governed by the infinity Laplacian
• Extension of functions satisfying Lipschitz conditions
• On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
• A Porous Medium Equation Involving the Infinity-Laplacian. Viscosity Solutions and Asymptotic Behavior
• A PDE Perspective of the Normalized Infinity Laplacian
• Various Properties of Solutions of the Infinity-Laplacian Equation
• Symmetries and differential equations

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