Local Lipschitz continuity of the inverse of the fractional \(p\)-Laplacian, Hölder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains
type: Item
instance of: scholarly article
title: Local Lipschitz continuity of the inverse of the fractional \(p\)-Laplacian, Hölder type continuity and continuous dependence of solutions to associated parabolic equations on bounded domains
zbMATH Open document ID: 1333.35332
author: Mahamadi Warma
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2016-04-04T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 6562448
zbMATH Keywords: fractional \(p\)-Laplace operator
zbMATH Keywords: nonlocal quasi-linear and nonlinear elliptic type equations
zbMATH Keywords: existence and regularity of solutions
zbMATH Keywords: local Lipschitz continuity
zbMATH Keywords: parabolic equations
zbMATH Keywords: continuous dependence of solutions
zbMATH Keywords: nonlinear Submarkovian semigroups
zbMATH Keywords: ultracontractivity
MaRDI profile type: Publication
full work available at URL: j.na.2016.01.022
OpenAlex ID: W2276642269
cites work: Q4217357
cites work: Lévy Processes and Stochastic Calculus
cites work: A priori estimates for the difference of solutions to quasi-linear elliptic equations
cites work: Censored stable processes
cites work: Variational problems with free boundaries for the fractional Laplacian
cites work: Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Heat kernel estimates for stable-like processes on \(d\)-sets.
cites work: Hölder continuity of the inverse of \(p\)-Laplacian
cites work: Uniform bounds for solutions to quasilinear parabolic equations.
cites work: \(L^q\)-\(L^\infty\) Hölder continuity for quasilinear parabolic equations associated to Sobolev derivations
cites work: Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces
cites work: Q4041031
cites work: A general fractional porous medium equation
cites work: Nonlocal Harnack inequalities
cites work: Local behavior of fractional \(p\)-minimizers
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Q3414547
cites work: Q3194642
cites work: Sharp short and long time \(L^{\infty }\) bounds for solutions to porous media equations with homogeneous Neumann boundary conditions
cites work: Q3470840
cites work: Logarithmic Sobolev Inequalities
cites work: A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
cites work: Global Hölder regularity for the fractional \(p\)-Laplacian
cites work: Q4347092
cites work: Nonlocal equations with measure data
cites work: On the local Hölder continuity of the inverse of the $p$-Laplace operator
cites work: Monotone (nonlinear) operators in Hilbert space
cites work: The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
cites work: Fractional Fokker-Planck equation for nonlinear stochastic differential equations driven by non-Gaussian Lévy stable noises
cites work: Q5529888
cites work: A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions
cites work: An ultracontractivity property for semigroups generated by the \(p\)-Laplacian with nonlinear Wentzell-Robin boundary conditions
cites work: The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets
cites work: The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets
cites work: The fractional Neumann and Robin type boundary conditions for the regional fractional \(p\)-Laplacian
DOI: 10.1016/J.NA.2016.01.022
Recommended article: Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
Recommended article: On the local Hölder continuity of the inverse of the $p$-Laplace operator
Recommended article: Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian
Recommended article: Hölder and Lipschitz continuity of the solutions to parabolic equations of the non-divergence type
Recommended article: Continuity results with respect to domain perturbation for the fractional \(p\)-Laplacian
Recommended article: On fractional \(p\)-Laplacian problems with local conditions
Recommended article: Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence
Recommended article: Local Hölder continuity for fractional nonlocal equations with general growth
Recommended article: Local Hölder continuity of nonnegative weak solutions of degenerate parabolic equations
Recommended article: Local Lipschitz continuity of solutions of non-linear elliptic differential-functional equations
description: scientific article; zbMATH DE number 6562448