Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds
type: Item
instance of: scholarly article
title: Lipschitz regularity for viscosity solutions to parabolic \({p(x,t)}\)-Laplacian equations on Riemannian manifolds
zbMATH Open document ID: 1401.35210
author: Soojung Kim
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2018-09-21T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6941407
zbMATH Keywords: \(p(x, t)\)-Laplacian operator
zbMATH Keywords: Lipschitz regularity
zbMATH Keywords: viscosity solutions
zbMATH Keywords: Riemannian manifold
MaRDI profile type: Publication
full work available at URL: s00030-018-0519-5
OpenAlex ID: W2807381124
cites work: Regularity results for stationary electro-rheological fluids
cites work: Regularity results for parabolic systems related to a class of non-Newtonian fluids.
cites work: Anisotropic parabolic equations with variable nonlinearity
cites work: Evolution PDEs with Nonstandard Growth Conditions
cites work: Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
cites work: Viscosity solutions to second order partial differential equations on Riemannian manifolds
cites work: Generalized motion of level sets by functions of their curvatures on Riemannian manifolds
cites work: A geometrical approach to the study of unbounded solutions of quasilinear parabolic equations
cites work: Calderón-Zygmund estimates for parabolic \(p(x,t)\)-Laplacian systems
cites work: A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
cites work: The Dirichlet problem for singular fully nonlinear operators
cites work: Eigenfunctions for singular fully nonlinear equations in unbounded domains
cites work: \(\mathcal{C}^{1,\beta}\) regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
cites work: Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
cites work: Hölder estimates for parabolic \(p(x, t)\)-Laplacian systems
cites work: Nondivergent elliptic equations on manifolds with nonnegative curvature
cites work: Q4855688
cites work: Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
cites work: Hölder continuity of weak solutions for parabolic equations with nonstandard growh conditions
cites work: A Riemannian interpolation inequality à la Borell, Brascamp and Lieb
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Harnack inequality for singular fully nonlinear operators and some existence results
cites work: Existence's results for parabolic problems related to fully non linear operators degenerate or singular
cites work: Regularity Theory for Rough Partial Differential Equations and Parabolic Comparison Revisited
cites work: Partial regularity for parabolic systems with non-standard growth
cites work: Parabolic Systems with Polynomial Growth and Regularity
cites work: Motion of level sets by mean curvature. I
cites work: \(C^{1,\alpha}\) regularity of solutions of some degenerate fully non-linear elliptic equations
cites work: Estimates on elliptic equations that hold only where the gradient is large
cites work: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
cites work: Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
cites work: The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
cites work: A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
cites work: Hölder gradient estimates for parabolic homogeneous \(p\)-Laplacian equations
cites work: On the definition of viscosity solutions for parabolic equations
cites work: On the evolution governed by the infinity Laplacian
cites work: Harnack inequality for nondivergent parabolic operators on Riemannian manifolds
cites work: Parabolic Harnack inequality of viscosity solutions on Riemannian manifolds
cites work: Harnack inequality for degenerate and singular operators of \(p\)-Laplacian type on Riemannian manifolds
cites work: Singular degenerate parabolic equations with applications
cites work: Mathematical modeling of electrorheological materials
cites work: Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
cites work: Hölder regularity for the general parabolic \(p(x, t)\)-Laplacian equations
cites work: On the property of higher integrability for parabolic systems of variable order of nonlinearity
DOI: 10.1007/S00030-018-0519-5
description: scientific article; zbMATH DE number 6941407