Slope estimate and boundary differentiability of infinity harmonic functions on convex domains
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Publication:289574
DOI10.1016/j.na.2016.02.018zbMath1350.49051OpenAlexW2305779324MaRDI QIDQ289574
Publication date: 30 May 2016
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.2016.02.018
convex domainsboundary differentiabilityinfinity harmonic functionsoptimal Lipschitz extension problemslope functionssup-norm variational problem
Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Boundary values of solutions to elliptic equations and elliptic systems (35J67)
Related Items
Pointwise boundary differentiability for the infinity Laplace equations, The gradient flow of infinity-harmonic potentials, Superposition principle on the viscosity solutions of infinity Laplace equations, Slope estimate and boundary differentiability for inhomogeneous infinity Laplace equation on convex domains, A Liouville theorem for infinity harmonic functions
Cites Work
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- Boundary differentiability of infinity harmonic functions
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- Optimal Lipschitz extensions and the infinity Laplacian
