Optimal regularity for the pseudo infinity Laplacian

DOI10.1051/cocv:2007018zbMath1129.35087OpenAlexW2098347674MaRDI QIDQ3593249

Mariel Sáez, Julio D. Rossi

Publication date: 19 July 2007

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=COCV_2007__13_2_294_0

zbMATH Keywords

Dirichlet problemexistenceuniquenessviscosity solutions

Mathematics Subject Classification ID

Related Items (5)

Comparison principles for second-order elliptic/parabolic equations with discontinuities in the gradient compatible with Finsler norms ⋮ Eigenvalues for a nonlocal pseudo \(p\)-Laplacian ⋮ The orthotropic \(p\)-Laplace eigenvalue problem of Steklov type as \(p\rightarrow+\infty\) ⋮ The behavior of solutions to an elliptic equation involving a \(p\)-Laplacian and a \(q\)-Laplacian for large \(p\) ⋮ AN ANISOTROPIC INFINITY LAPLACIAN OBTAINED AS THE LIMIT OF THE ANISOTROPIC (p, q)-LAPLACIAN

Cites Work

• \(C^1\) regularity for infinity harmonic functions in two dimensions
• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• A \(p\)-Laplacian approximation for some mass optimization problems
• The \(p\)-Laplace eigenvalue problem as \(p\to\infty\) in a Finsler metric
• Extension of functions satisfying Lipschitz conditions
• EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
• User’s guide to viscosity solutions of second order partial differential equations
• Differential equations methods for the Monge-Kantorovich mass transfer problem
• A tour of the theory of absolutely minimizing functions
• The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞
• Optimal Lipschitz extensions and the infinity Laplacian

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