\(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations

DOI10.1016/j.jde.2023.10.021zbMath1527.35110arXiv2304.08144OpenAlexW4387794679MaRDI QIDQ6065755

Se-Chan Lee, Hyungsung Yun

Publication date: 15 November 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.08144

zbMATH Keywords

global regularitysolution classparabolic normalized \(p\)-Laplace equations

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
• Unnamed Item
• Interior a priori estimates for solutions of fully nonlinear equations
• An evolution equation involving the normalized \(p\)-Laplacian
• Singular solution to special Lagrangian equations
• Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
• \(C^{1,\alpha}\) regularity of solutions of some degenerate fully non-linear elliptic equations
• Boundary pointwise \(C^{1, \alpha }\) and \(C^{2, \alpha }\) regularity for fully nonlinear elliptic equations
• A proof of the \(C^{p^\prime}\)-regularity conjecture in the plane
• Gradient Hölder regularity for parabolic normalized \(p(x,t)\)-Laplace equation
• Interior pointwise \(C^{2 , \alpha}\) regularity for fully nonlinear elliptic equations
• Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations
• Improved regularity for the parabolic normalized \(p\)-Laplace equation
• Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary
• Gradient regularity for a singular parabolic equation in non-divergence form
• 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
• Hölder gradient estimates for parabolic homogeneous \(p\)-Laplacian equations
• \(C^{1,\alpha}\) regularity for the normalized \(p\)-Poisson problem
• Nonclassical solutions of fully nonlinear elliptic equations
• Singular viscosity solutions to fully nonlinear elliptic equations
• Regularity theory for elliptic PDE
• Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
• Hessian Continuity at Degenerate Points in Nonvariational Elliptic Problems
• An Asymptotic Mean Value Characterization for a Class of Nonlinear Parabolic Equations Related to Tug-of-War Games
• Tug-of-war and the infinity Laplacian
• On the $p$-Laplacian and $\infty$-Laplacian on Graphs with Applications in Image and Data Processing
• Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions
• Elliptic Regularity Theory by Approximation Methods
• Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations

This page was built for publication: \(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations