Found 59 Documents (Results 1–59)
Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type theorem. (English) Zbl 1533.35065
\(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations. (English) Zbl 1527.35110
Asymptotic mean value properties for the elliptic and parabolic double phase equations. (English) Zbl 1525.35014
Elliptic Harnack’s inequality for a singular nonlinear parabolic equation in non-divergence form. (English) Zbl 1522.35115
Reviewer: Peter Lindqvist (Trondheim)
A game theoretical approximation for solutions to nonlinear systems with obstacle-type equations. (English) Zbl 1520.35056
Borderline gradient continuity for the normalized \(p\)-parabolic operator. (English) Zbl 1518.35222
A game theoretical approximation for a parabolic/elliptic system with different operators. (English) Zbl 1518.35225
Evolution driven by the infinity fractional Laplacian. (English) Zbl 1520.35161
Reviewer: Peter Lindqvist (Trondheim)
Asymptotically mean value harmonic functions in subriemannian and RCD settings. (English) Zbl 1509.31024
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
Asymptotically mean value harmonic functions in doubling metric measure spaces. (English) Zbl 1504.31026
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
An asymptotic expansion for the fractional \(p\)-Laplacian and for gradient-dependent nonlocal operators. (English) Zbl 07517068
The eigenvalue problem for a class of degenerate operators related to the normalized \(p\)-Laplacian. (English) Zbl 1489.35150
Hölder gradient regularity for the inhomogeneous normalized \(p(x)\)-Laplace equation. (English) Zbl 1487.35156
Reviewer: Patrick Winkert (Berlin)
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
Semiconvexity of viscosity solutions to fully nonlinear evolution equations via discrete games. (English) Zbl 1473.35103
Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 205-231 (2021).
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)
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group. (English) Zbl 1448.35063
Gradient continuity estimates for the normalized \(p\)-Poisson equation. (English) Zbl 1453.35083
Reviewer: Mariana Vega Smit (Bellingham)
Gradient regularity for a singular parabolic equation in non-divergence form. (English) Zbl 1446.35066
Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality. (English) Zbl 1442.35195
Reviewer: Dian K. Palagachev (Bari)
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 of solutions of the parabolic normalized \(p\)-Laplace equation. (English) Zbl 1412.35192
The tusk condition and Petrovskiĭ criterion for the normalized \(p\)-parabolic equation. (English) Zbl 1444.35099
Asymptotics for the resolvent equation associated to the game-theoretic \(p\)-Laplacian. (English) Zbl 1421.35164
A continuous time tug-of-war game for parabolic \(p(x,t)\)-Laplace-type equations. (English) Zbl 1422.91087
Hölder gradient estimates for a class of singular or degenerate parabolic equations. (English) Zbl 1418.35250
Short-time behavior for game-theoretic \(p\)-caloric functions. (English. French summary) Zbl 1412.35191
Reviewer: Dian K. Palagachev (Bari)
Hölder regularity for the gradient of the inhomogeneous parabolic normalized \(p\)-Laplacian. (English) Zbl 1391.35194
A natural approach to the asymptotic mean value property for the \(p\)-Laplacian. (English) Zbl 1378.35147
Reviewer: Tommi Brander (Lyngby)
\(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem. (English. French summary) Zbl 1375.35170
Hölder gradient estimates for parabolic homogeneous \(p\)-Laplacian equations. (English. French summary) Zbl 1515.35075
Modica type gradient estimates for an inhomogeneous variant of the normalized \(p\)-Laplacian evolution. (English) Zbl 1327.35223
Reviewer: Christos Sourdis (Torino)
MSC:
35K92
Statistical exponential formulas for homogeneous diffusion. (English) Zbl 1357.47063
Reviewer: Georg Hetzer (Auburn)
An obstacle problem for tug-of-war games. (English) Zbl 1317.35078
Reviewer: Said El Manouni (Berlin)
General existence of solutions to dynamic programming equations. (English) Zbl 1326.35395
Reviewer: Dimitris P. Vartziotis (Ioannina)
On the Dirichlet boundary value problem for the normalized \(p\)-Laplacian evolution. (English) Zbl 1488.35295
Boundary behavior of nonnegative solutions of fully nonlinear parabolic equations. (English) Zbl 1317.35112
Reviewer: Nikos Katzourakis (Reading)
Game theoretical methods in PDEs. (English) Zbl 1322.35139
Reviewer: Dimitris P. Vartziotis (Ioannina)
Waiting time effect for motion by positive second derivatives and applications. (English) Zbl 1301.49067
Reviewer: Wiesław Kotarski (Sosnowiec)
On the horizontal mean curvature flow for axisymmetric surfaces in the Heisenberg group. (English) Zbl 1304.35389
Reviewer: Shu-Yu Hsu (Min-hsiung)
Harnack’s inequality for \(p\)-harmonic functions via stochastic games. (English) Zbl 1287.35044
Reviewer: Lubomira Softova (Aversa)
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