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C 1, α regularity for infinity harmonic functions in two dimensions

https://doi.org/10.1007/s00526-007-0143-4
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Elliptic Partial Differential Equations of Second Order
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Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
inferredcites →https://doi.org/10.1007/bf02591928openalex-snapshot
Extension of functions satisfying lipschitz conditions
inferredcites →https://doi.org/10.1007/s00205-005-0355-8openalex-snapshot
C1 Regularity for Infinity Harmonic Functions in Two Dimensions
inferredcites →https://doi.org/10.1007/s005260000065openalex-snapshot
Optimal Lipschitz extensions and the infinity laplacian
inferredcites →https://doi.org/10.1080/03605300500258956openalex-snapshot
Various Properties of Solutions of the Infinity-Laplacian Equation
inferredcites →https://doi.org/10.1090/s0273-0979-04-01035-3openalex-snapshot
A tour of the theory of absolutely minimizing functions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.2725441openalex-extracted
Solving Non-Linear PDE for Mathematical Finance
inferred← citeshttps://doi.org/10.1007/978-3-319-10705-9_28openalex-snapshot
An Adaptive Finite Element Method for the Infinity Laplacian
inferred← citeshttps://doi.org/10.1007/978-3-319-12829-0_8openalex-snapshot
Existence of Viscosity Solutions to the Dirichlet Problem for the $$\infty $$-Laplacian
inferred← citeshttps://doi.org/10.1007/bf03322609openalex-snapshot
A hölder continuous nowhere improvable function with derivative singular distribution
inferred← citeshttps://doi.org/10.1007/s00205-014-0755-8openalex-snapshot
Intrinsic Geometry and Analysis of Diffusion Processes and L ∞-Variational Problems
inferred← citeshttps://doi.org/10.1007/s00205-015-0888-4openalex-snapshot
On the Dirichlet and Serrin Problems for the Inhomogeneous Infinity Laplacian in Convex Domains: Regularity and Geometric Results
inferred← citeshttps://doi.org/10.1007/s00205-016-1033-8openalex-snapshot
Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$
inferred← citeshttps://doi.org/10.1007/s00205-018-1305-6openalex-snapshot
Existence, Uniqueness and Structure of Second Order Absolute Minimisers
inferred← citeshttps://doi.org/10.1007/s00209-026-03979-9openalex-snapshot
Liouville–type results for infinity elliptic equations involving gradient and Hardy–Hénon nonlinearities
inferred← citeshttps://doi.org/10.1007/s00229-018-1099-8openalex-snapshot
A Liouville theorem for infinity harmonic functions
inferred← citeshttps://doi.org/10.1007/s00440-010-0306-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-009-0263-0openalex-snapshot
Solutions of Aronsson equation near isolated points
inferred← citeshttps://doi.org/10.1007/s00526-009-0298-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-010-0388-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-014-0760-7openalex-snapshot
Geometric gradient estimates for solutions to degenerate elliptic equations
inferred← citeshttps://doi.org/10.1007/s00526-018-1460-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-022-02241-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-024-02892-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10231-006-0007-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10231-014-0427-1openalex-snapshot
On the viscosity solutions to a degenerate parabolic differential equation
inferred← citeshttps://doi.org/10.1007/s10915-023-02425-wopenalex-snapshot
The Infinity Laplacian Eigenvalue Problem: Reformulation and a Numerical Scheme
inferred← citeshttps://doi.org/10.1007/s41808-018-0020-7openalex-snapshot
Explicit $$\infty$$ ∞ -harmonic functions in high dimensions
inferred← citeshttps://doi.org/10.1016/j.aim.2017.06.027openalex-snapshot
A proof of the C p ′ -regularity conjecture in the plane
inferred← citeshttps://doi.org/10.1016/j.aim.2020.107526openalex-snapshot
The gradient flow of infinity-harmonic potentials
inferred← citeshttps://doi.org/10.1016/j.anihpc.2015.10.003openalex-snapshot
Everywhere differentiability of viscosity solutions to a class of Aronsson's equations
inferred← citeshttps://doi.org/10.1016/j.cam.2012.11.023openalex-snapshot
Finite difference methods for the Infinity Laplace and p -Laplace equations
inferred← citeshttps://doi.org/10.1016/j.crma.2011.10.010openalex-snapshot
Explicit singular viscosity solutions of the Aronsson equation
inferred← citeshttps://doi.org/10.1016/j.jde.2014.02.018openalex-snapshot
Asymptotic estimates of boundary blow-up solutions to the infinity Laplace equations
inferred← citeshttps://doi.org/10.1016/j.jde.2016.10.044openalex-snapshot
Cavity type problems ruled by infinity Laplacian operator
inferred← citeshttps://doi.org/10.1016/j.jde.2020.11.011openalex-snapshot
Regularity of absolute minimizers for continuous convex Hamiltonians
inferred← citeshttps://doi.org/10.1016/j.jfa.2015.12.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jfa.2020.108829openalex-snapshot
Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3
inferred← citeshttps://doi.org/10.1016/j.jmaa.2015.11.046openalex-snapshot
Asymptotic boundary estimates to infinity Laplace equations with Γ-varying nonlinearity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.130130openalex-snapshot
Differentiability for a principal eigenvalue problem of infinity Laplace equations
inferred← citeshttps://doi.org/10.1016/j.matpur.2016.10.010openalex-snapshot
Hölder gradient estimates for parabolic homogeneous p-Laplacian equations
inferred← citeshttps://doi.org/10.1016/j.matpur.2019.02.007openalex-snapshot
Some sharp Sobolev regularity for inhomogeneous infinity Laplace equation in plane
inferred← citeshttps://doi.org/10.1016/j.matpur.2019.02.008openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2012.06.028openalex-snapshot
Regularity for radial solutions of degenerate fully nonlinear equations
inferred← citeshttps://doi.org/10.1016/j.na.2013.07.009openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2015.10.025openalex-snapshot
L∞ -variational problems associated to measurable Finsler structures
inferred← citeshttps://doi.org/10.1016/j.na.2015.12.007openalex-snapshot
Characterization of stadium-like domains via boundary value problems for the infinity Laplacian
inferred← citeshttps://doi.org/10.1016/j.na.2016.02.018openalex-snapshot
Slope estimate and boundary differentiability of infinity harmonic functions on convex domains
inferred← citeshttps://doi.org/10.1016/j.na.2018.01.011openalex-snapshot
Superposition principle on the viscosity solutions of infinity Laplace equations
inferred← citeshttps://doi.org/10.1016/j.na.2018.06.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2019.111605openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2020.111867openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.na.2020.111953openalex-snapshot
Pointwise boundary differentiability for the infinity Laplace equations
inferred← citeshttps://doi.org/10.1016/j.na.2020.111956openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0013091514000030openalex-snapshot
DoubleΓ-Convergence and Application to Energy Functionals
inferred← citeshttps://doi.org/10.1017/s1446788722000088openalex-snapshot
REGULARITY OF AML FUNCTIONS IN TWO-DIMENSIONAL NORMED SPACES
inferred← citeshttps://doi.org/10.1017/s1446788726101499openalex-snapshot
DEAD-CORE PROBLEM FOR A CLASS OF INFINITY LAPLACIAN
inferred← citeshttps://doi.org/10.1051/cocv/2023066openalex-snapshot
Variational Problems in L∞ Involving Semilinear Second Order Differential Operators
inferred← citeshttps://doi.org/10.1080/03605302.2022.2109487openalex-snapshot
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow
inferred← citeshttps://doi.org/10.1080/03605302.2026.2714975openalex-snapshot
The overdetermined problem for an anisotropic infinity Laplacian
inferred← citeshttps://doi.org/10.1090/proc/12916openalex-snapshot
A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian
inferred← citeshttps://doi.org/10.1090/s0002-9939-2013-12180-5openalex-snapshot
On the regularity of solutions of the inhomogeneous infinity Laplace equation
inferred← citeshttps://doi.org/10.1090/tran6694openalex-snapshot
Weakly coupled systems of the infinity Laplace equations
inferred← citeshttps://doi.org/10.1093/imanum/drad074openalex-snapshot
Two-scale methods for the normalized infinity Laplacian: rates of convergence
inferred← citeshttps://doi.org/10.1093/imrn/rnae176openalex-snapshot
On Splitting Complete Manifolds via Infinity Harmonic Functions
inferred← citeshttps://doi.org/10.1093/imrn/rnm163openalex-snapshot
Asymptotic Behavior of Infinity Harmonic Functions Near an Isolated Singularity
inferred← citeshttps://doi.org/10.1093/imrn/rnu204openalex-snapshot
A Symmetry Problem for the Infinity Laplacian: Fig. 1.
inferred← citeshttps://doi.org/10.1093/imrn/rnx068openalex-snapshot
Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions
inferred← citeshttps://doi.org/10.1112/jlms.12766openalex-snapshot
Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy
inferred← citeshttps://doi.org/10.1112/plms.70062openalex-snapshot
Regularity from p$p$‐harmonic potentials to ∞$\infty$‐harmonic potentials in convex rings
inferred← citeshttps://doi.org/10.1137/19m1260724openalex-snapshot
Bernoulli Free Boundary Problem for the Infinity Laplacian
inferred← citeshttps://doi.org/10.1137/21m1443601openalex-snapshot
A Quantitative Sobolev Regularity for Absolute Minimizers Involving Hamiltonian $H({p})$ in Plane
inferred← citeshttps://doi.org/10.1137/25m1755539openalex-snapshot
Examples of \({p}\)-Harmonic Maps
inferred← citeshttps://doi.org/10.1142/s0219530524500301openalex-snapshot
Viscosity solutions to the inhomogeneous reaction–diffusion equation involving the infinity Laplacian
inferred← citeshttps://doi.org/10.1155/2019/6417074openalex-snapshot
The Aronsson Equation, Lyapunov Functions, and Local Lipschitz Regularity of the Minimum Time Function
inferred← citeshttps://doi.org/10.1155/2024/3398794openalex-snapshot
Convexity Property of Finsler Infinity Harmonic Functions
inferred← citeshttps://doi.org/10.11648/j.sd.20210906.19openalex-snapshot
The Boundary Regularity for Normalized Infinity Laplace Equations
inferred← citeshttps://doi.org/10.12677/pm.2021.112023openalex-snapshot
Overdetermined Boundary Value Problems for the Infinity Laplace Equation
inferred← citeshttps://doi.org/10.1515/acv-2018-0083openalex-snapshot
Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian
inferred← citeshttps://doi.org/10.1515/crelle-2024-0016openalex-snapshot
Jacobian determinants for nonlinear gradient of planar ∞-harmonic functions and applications
inferred← citeshttps://doi.org/10.2298/fil2535391dopenalex-snapshot
A $ C^{1} $-regularity result to the inhomogeneous normalized infinity Laplacian equation
inferred← citeshttps://doi.org/10.3934/cpaa.2013.12.1959openalex-snapshot
Tug-of-wargames and the infinity Laplacian with spatial dependence
inferred← citeshttps://doi.org/10.3934/cpaa.2022142openalex-snapshot
Viscosity solutions to the infinity Laplacian equation with strong absorptions
inferred← citeshttps://doi.org/10.3934/cpaa.2026051openalex-snapshot
Some existence and uniqueness results for infinity Laplace equations on infinite graphs
inferred← citeshttps://doi.org/10.3934/dcds.2019192openalex-snapshot
Infinity-harmonic potentials and their streamlines
inferred← citeshttps://doi.org/10.3934/mine.2023080openalex-snapshot
The infinity-Laplacian in smooth convex domains and in a square
inferred← citeshttps://doi.org/10.4208/ata.oa-2020-0002openalex-snapshot
Regularity of Viscosity Solutions of the Biased Infinity Laplacian Equation
inferred← citeshttps://doi.org/10.4236/apm.2023.1310046openalex-snapshot
Uniqueness of Viscosity Solutions to the Dirichlet Problem Involving Infinity Laplacian
inferred← citeshttps://doi.org/10.4236/jamp.2023.1110197openalex-snapshot
Lipschitz Regularity of Viscosity Solutions to the Infinity Laplace Equation
inferred← citeshttps://doi.org/10.48550/arxiv.1206.4089openalex-snapshot
Optimal gradient continuity for degenerate elliptic equations
inferred← citeshttps://doi.org/10.48550/arxiv.1901.02379openalex-snapshot
Regularity of absolute minimizers for continuous convex Hamiltonians
inferred← citeshttps://doi.org/10.48550/arxiv.1901.09539openalex-snapshot
A quantative Sobolev regularity for absolute minimizers involving Hamiltonian $H(p)\in C^0 (\mathbb{R}^2)$ in plane
inferred← citeshttps://doi.org/10.48550/arxiv.1901.10174openalex-snapshot
Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H(p)\in C^0(\mathbb{R}^n)$ with $n\ge3$
inferred← citeshttps://doi.org/10.48550/arxiv.1904.11833openalex-snapshot
Optimal C^{1,\apha} regularity for degenerate fully nonlinear elliptic equations with Neumann boundary condition
inferred← citeshttps://doi.org/10.57262/ade/1355703086openalex-snapshot
Inhomogeneous Dirichlet problems involving the infinity-Laplacian
inferred← citeshttps://doi.org/10.68381/jca27068openalex-snapshot
Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in ℝ n
inferred← citeshttps://doi.org/10.70675/1bdddd53z9b42z4f95za2b2z1de354ae4492openalex-snapshot
Contributions to linear dynamics, sweeping process and regularity of Lipschitz functions
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