On solutions to Dirichlet problems involving the infinity-Laplacian
From MaRDI portal
Publication:3098014
DOI10.1515/ACV.2010.019zbMath1232.35056OpenAlexW1987824127MaRDI QIDQ3098014
Tilak Bhattacharya, Ahmed Mohammed
Publication date: 11 November 2011
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/acv.2010.019
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Viscosity solutions to PDEs (35D40)
Related Items (21)
Parabolic biased infinity Laplacian equation related to the biased tug-of-war ⋮ BOUNDARY BLOW-UP SOLUTIONS TO EQUATIONS INVOLVING THE INFINITY LAPLACIAN ⋮ Boundary behavior of large solutions to the infinity Laplace equations on the half-line ⋮ Infinity-Laplacian type equations and their associated Dirichlet problems ⋮ Asymptotic boundary estimates to infinity Laplace equations with \(\Gamma\)-varying nonlinearity ⋮ The second order expansion of boundary blow-up solutions for infinity-Laplacian equations ⋮ Unnamed Item ⋮ Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations ⋮ Blow-up rates of large solutions for infinity Laplace equations ⋮ Boundary behavior of large viscosity solutions to infinity Laplace equations ⋮ On the viscosity solutions to a degenerate parabolic differential equation ⋮ The exact asymptotic behavior of boundary blow-up solutions to infinity Laplacian equations ⋮ On boundary blow-up solutions to equations involving the \(\infty \)-Laplacian ⋮ A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms ⋮ Comparison principles for infinity-Laplace equations in Finsler metrics ⋮ Boundary behavior for the solutions to Dirichlet problems involving the infinity-Laplacian ⋮ Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian ⋮ Existence, uniqueness, and blow‐up rate of large solutions to equations involving the Laplacian on the half line ⋮ Boundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous terms ⋮ A singular boundary value problem for a degenerate elliptic PDE ⋮ Large solutions of a class of degenerate equations associated with infinity Laplacian
Cites Work
- Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
- Inhomogeneous infinity Laplace equation
- EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
- A PDE Perspective of the Normalized Infinity Laplacian
- User’s guide to viscosity solutions of second order partial differential equations
- On a dirichlet problem with a singular nonlinearity
- A tour of the theory of absolutely minimizing functions
- Uniqueness of ∞-Harmonic Functions and the Eikonal Equation
This page was built for publication: On solutions to Dirichlet problems involving the infinity-Laplacian
