$C^{1, \alpha}$-regularity for functions in solution classes and its application to parabolic normalized $p$-Laplace equations (Q6065755)

scientific article; zbMATH DE number 7765632

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English	$C^{1, \alpha}$-regularity for functions in solution classes and its application to parabolic normalized $p$-Laplace equations	scientific article; zbMATH DE number 7765632

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scholarly article

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title

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

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Journal of Differential Equations

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publication date

15 November 2023

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full work available at URL

https://arxiv.org/abs/2304.08144

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zbMATH Keywords

solution class

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global regularity

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parabolic normalized $p$-Laplace equations

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MaRDI profile type

MaRDI publication profile

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cites work

Twice differentiability of solutions to fully nonlinear parabolic equations near the boundary

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Improved regularity for the parabolic normalized $p$-Laplace equation

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Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations

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A proof of the $C^{p^\prime}$-regularity conjecture in the plane

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Towards the $C^{p^\prime}$-Regularity Conjecture in Higher Dimensions

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Local regularity for quasi-linear parabolic equations in non-divergence form

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$C^{1,\alpha}$ regularity for the normalized $p$-Poisson problem

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Gradient regularity for a singular parabolic equation in non-divergence form

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Gradient bounds and monotonicity of the energy for some nonlinear singular diffusion equations

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On the Dirichlet boundary value problem for the normalized $p$-Laplacian evolution

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Interior a priori estimates for solutions of fully nonlinear equations

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Q4855688

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An evolution equation involving the normalized $p$-Laplacian

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On the $p$-Laplacian and $\infty$-Laplacian on Graphs with Applications in Image and Data Processing

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Gradient Hölder regularity for parabolic normalized $p(x,t)$-Laplace equation

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Regularity theory for elliptic PDE

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Regularity of solutions of the parabolic normalized $p$-Laplace equation

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$C^{1,\alpha}$ regularity of solutions of some degenerate fully non-linear elliptic equations

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Hölder gradient estimates for parabolic homogeneous $p$-Laplacian equations

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Q5562267

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Boundary pointwise $C^{1, \alpha }$ and $C^{2, \alpha }$ regularity for fully nonlinear elliptic equations

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Q4354424

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Second Derivative L p -Estimates for Elliptic Equations of Nondivergent Type

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An Asymptotic Mean Value Characterization for a Class of Nonlinear Parabolic Equations Related to Tug-of-War Games

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Nonclassical solutions of fully nonlinear elliptic equations

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Singular viscosity solutions to fully nonlinear elliptic equations

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Singular solution to special Lagrangian equations

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Tug-of-war and the infinity Laplacian

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Tug-of-war with noise: a game-theoretic view of the $p$-Laplacian

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Elliptic Regularity Theory by Approximation Methods

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Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations

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Hessian Continuity at Degenerate Points in Nonvariational Elliptic Problems

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On the regularity theory of fully nonlinear parabolic equations: I

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On the regularity theory of fully nonlinear parabolic equations: II

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Interior pointwise $C^{2 , \alpha}$ regularity for fully nonlinear elliptic equations

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Identifiers

zbMATH Open document ID

1527.35110

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arXiv ID

2304.08144

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Mathematics Subject Classification ID

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10.1016/J.JDE.2023.10.021

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Mathematics(1 entry)

mardi Publication:6065755

\(C^{1, \alpha}\)-regularity for functions in solution classes and its application to parabolic normalized \(p\)-Laplace equations (Q6065755)

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Sitelinks

Mathematics(1 entry)