Borderline gradient continuity for the normalized \(p\)-parabolic operator

DOI10.1007/s12220-023-01317-7zbMath1518.35222arXiv2211.15246OpenAlexW4379536555MaRDI QIDQ6113290

Isidro Humberto Munive, Agnid Banerjee, Murat Akman

Publication date: 10 July 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.15246

zbMATH Keywords

Riesz potentialborderline regularitynormalized \(p\)-Poission equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Unnamed Item
• Unnamed Item
• Local regularity for time-dependent tug-of-war games with varying probabilities
• A nonlinear Stein theorem
• Universal potential estimates
• Potential estimates and gradient boundedness for nonlinear parabolic systems
• Borderline gradient continuity for nonlinear parabolic systems
• Interior a priori estimates for solutions of fully nonlinear equations
• An evolution equation involving the normalized \(p\)-Laplacian
• Editor's note: the differentiability of functions in \({\mathbb{R}}^ n\)
• Motion of level sets by mean curvature. I
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• Regularity for a more general class of quasilinear equations
• Compactness methods for certain degenerate elliptic equations
• Elliptic partial differential equations of second order
• Linear potentials in nonlinear potential theory
• Gradient Hölder regularity for parabolic normalized \(p(x,t)\)-Laplace equation
• Boundary differentiability of solutions to elliptic equations in convex domains in the borderline case
• Borderline regularity for fully nonlinear equations in Dini domains
• Improved regularity for the parabolic normalized \(p\)-Laplace equation
• Local regularity for quasi-linear parabolic equations in non-divergence form
• Regularity of solutions of the parabolic normalized \(p\)-Laplace equation
• On the Dirichlet boundary value problem for the normalized \(p\)-Laplacian evolution
• Modica type gradient estimates for an inhomogeneous variant of the normalized \(p\)-Laplacian evolution
• Hölder gradient estimates for parabolic homogeneous \(p\)-Laplacian equations
• \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem
• Hölder gradient estimates for a class of singular or degenerate parabolic equations
• Global boundedness of the gradient for a class of nonlinear elliptic systems
• On the evolution governed by the infinity Laplacian
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• An Asymptotic Mean Value Characterization for a Class of Nonlinear Parabolic Equations Related to Tug-of-War Games
• Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations
• Gradient estimates via non-linear potentials
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• On the regularity theory of fully nonlinear parabolic equations: I
• User’s guide to viscosity solutions of second order partial differential equations
• L^p- Theory for fully nonlinear uniformly parabolic equations
• Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian
• Gradient continuity estimates for the normalized p-Poisson equation
• Decay estimates in the supremum norm for the solutions to a nonlinear evolution equation
• Guide to nonlinear potential estimates
• Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations
• Gradient regularity for nonlinear parabolic equations
• Borderline Estimates for Fully Nonlinear Elliptic Equations
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations