Found 221 Documents (Results 1–100)
Jacobian determinants for nonlinear gradient of planar \(\infty \)-harmonic functions and applications. (English) Zbl 07875063
Hölder estimate for a tug-of-war game with \(1< p< 2\) from Krylov-Safonov regularity theory. (English) Zbl 1541.35255
Asymptotic estimates of large solutions to the infinity Laplacian equations. (English) Zbl 1537.35078
The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme. (English) Zbl 1531.35130
\(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations. (English) Zbl 1527.35110
A scheme for the game \(p\)-Laplacian and its application to image inpainting. (English) Zbl 07764025
The Robin mean value equation. I: A random walk approach to the third boundary value problem. (English) Zbl 1534.35088
Liouville theorems for infinity Laplacian with gradient and KPP type equation. (English) Zbl 1529.35210
Asymptotic \(C^{1,\gamma}\)-regularity for value functions to uniformly elliptic dynamic programming principles. (English) Zbl 1527.91011
Asymptotic mean value properties for the elliptic and parabolic double phase equations. (English) Zbl 1525.35014
A PDE approach to the prediction of a binary sequence with advice from two history-dependent experts. (English) Zbl 1522.91021
A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations. (English) Zbl 1520.35056
A game theoretical approximation for a parabolic/elliptic system with different operators. (English) Zbl 1518.35225
Regularity of AML functions in two-dimensional normed spaces. (English) Zbl 1526.35103
Reviewer: Damião J. Araújo (João Pessoa)
Evolution driven by the infinity fractional Laplacian. (English) Zbl 1520.35161
Reviewer: Peter Lindqvist (Trondheim)
Hölder regularity for stochastic processes with bounded and measurable increments. (English) Zbl 1510.35087
\(p\)-harmonic functions by way of intrinsic mean value properties. (English) Zbl 1511.35193
Reviewer: Patrick Winkert (Berlin)
Tug-of-war with Kolmogorov. (English) Zbl 1501.35251
Asymptotic mean value formulas, nonlocal space-time parabolic operators and anomalous tug-of-war games. (English) Zbl 1501.35435
Regularity for quasi-linear parabolic equations with nonhomogeneous degeneracy or singularity. (English) Zbl 1507.35060
Regularity of viscosity solutions of the biased infinity Laplacian equation. (English) Zbl 1524.35251
The streamlines of \(\infty\)-harmonic functions obey the inverse mean curvature flow. (English) Zbl 1506.35108
Viscosity solutions to the infinity Laplacian equation with strong absorptions. (English) Zbl 1503.35066
Reviewer: Yi Zhang (Beijing)
A quantitative Sobolev regularity for absolute minimizers involving Hamiltonian \(H(p)\) in plane. (English) Zbl 1505.35170
Local regularity estimates for general discrete dynamic programming equations. (English. French summary) Zbl 1500.35064
Improved regularity for the parabolic normalized \(p\)-Laplace equation. (English) Zbl 1497.35076
Reviewer: Peter Lindqvist (Trondheim)
Convergence of natural \(p\)-means for the \(p\)-Laplacian in the Heisenberg group. (English) Zbl 1497.35271
Analysis and algorithms for \(\ell_p\)-based semi-supervised learning on graphs. (English) Zbl 07557810
MSC:
68T05
A Hölder infinity Laplacian obtained as limit of Orlicz fractional Laplacians. (English) Zbl 1490.35517
Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications. (English) Zbl 1490.35158
The eigenvalue problem for a class of degenerate operators related to the normalized \(p\)-Laplacian. (English) Zbl 1489.35150
Asymptotic mean-value formulas for solutions of general second-order elliptic equations. (English) Zbl 1489.35083
Large solutions of a class of degenerate equations associated with infinity Laplacian. (English) Zbl 1485.35193
Non-local Tug-of-War with noise for the geometric fractional \(p\)-Laplacian. (English) Zbl 1484.35386
Solution method for discrete double obstacle problems based on a power penalty approach. (English) Zbl 1499.90256
A finite difference method for the variational \(p\)-Laplacian. (English) Zbl 1486.65224
Reviewer: Ljiljana Teofanov (Novi Sad)
Time-dependent tug-of-war games and normalized parabolic \(p\)-Laplace equations. (English) Zbl 1477.35277
A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications. (English) Zbl 1479.35226
Variational \(p\)-harmonious functions: existence and convergence to \(p\)-harmonic functions. (English) Zbl 1473.35222
Gradient Hölder regularity for parabolic normalized \(p(x,t)\)-Laplace equation. (English) Zbl 1470.35093
Convergence of the natural \(p\)-means for the \(p\)-Laplacian. (English) Zbl 1479.35486
Reviewer: Massimo Lanza de Cristoforis (Padova)
Harnack inequality and an asymptotic mean-value property for the Finsler infinity-Laplacian. (English) Zbl 1469.35009
Reviewer: Vincenzo Vespri (Firenze)
Noisy tug of war games for the \(\mathbf{p}\)-Laplacian: \(\mathbf{1 < p < }\,\boldsymbol{\infty }\). (English) Zbl 1466.91021
MSC:
91A15
Asymptotically optimal strategies for online prediction with history-dependent experts. (English) Zbl 1459.91171
Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian. (English) Zbl 1461.53057
Strong convergence of the gradients for \(p\)-Laplacian problems as \(p \rightarrow \infty \). (English) Zbl 1459.35219
The gradient flow of infinity-harmonic potentials. (English) Zbl 1466.35163
Reviewer: Zhipeng Yang (Göttingen)
Equivalence between radial solutions of different parabolic gradient-diffusion equations and applications. (English) Zbl 1476.35130
Reviewer: Peter Lindqvist (Trondheim)
A game theoretical approach for a nonlinear system driven by elliptic operators. (English) Zbl 1455.35081
On the numerical approximation of vectorial absolute minimisers in \(L^\infty\). (English) Zbl 1454.35115
A weighted eigenvalue problem of the degenerate operator associated with infinity Laplacian. (English) Zbl 1448.35196
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities. (English) Zbl 1444.91020
How I met the normalized \(p\)-Laplacian \(\Delta_p^N\) and what we know now about mean values and concavity properties. (English) Zbl 1443.35080
J. Elliptic Parabol. Equ. 6, No. 1, 113-121 (2020); correction ibid. 7, No. 2, 989 (2021).
Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality. (English) Zbl 1442.35195
Reviewer: Dian K. Palagachev (Bari)
Random walks and random tug of war in the Heisenberg group. (English) Zbl 1467.60032
Reviewer: Daniel Beltiţă (Bucureşti)
A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions. (English) Zbl 1442.35230
A control problem related to the parabolic dominative \(p\)-Laplace equation. (English) Zbl 1439.35307
Local Lipschitz regularity for functions satisfying a time-dependent dynamic programming principle. (English) Zbl 1509.35085
Regularity properties for a class of non-uniformly elliptic Isaacs operators. (English) Zbl 1437.35294
Reviewer: Vicenţiu D. Rădulescu (Craiova)
On the first eigenvalue of the normalized \(p\)-Laplacian. (English) Zbl 1435.35184
Reviewer: Petr Tomiczek (Plzeň)
A boundary-value problem for normalized Finsler infinity-Laplacian equations with singular nonhomogeneous terms. (English) Zbl 1433.35084
Consistency of Lipschitz learning with infinite unlabeled data and finite labeled data. (English) Zbl 1499.35598
Some sharp Sobolev regularity for inhomogeneous infinity Laplace equation in plane. (English. French summary) Zbl 1435.35161
Reviewer: Michael Perelmuter (Kyïv)
Asymptotics for the resolvent equation associated to the game-theoretic \(p\)-Laplacian. (English) Zbl 1421.35164
A limiting free boundary problem with gradient constraint and tug-of-war games. (English) Zbl 1422.35088
On \(p\)-harmonic measures in half-spaces. (English) Zbl 1432.35100
Reviewer: Peter Lindqvist (Trondheim)
MSC:
35J92
A continuous time tug-of-war game for parabolic \(p(x,t)\)-Laplace-type equations. (English) Zbl 1422.91087
Starshapedeness for fully non-linear equations in Carnot groups. (English) Zbl 1422.35156
Reviewer: Nathaniel Eldredge (Storrs)
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