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

DOI10.1016/j.na.2016.01.022zbMath1333.35332OpenAlexW2276642269MaRDI QIDQ265560

Mahamadi Warma

Publication date: 4 April 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.01.022

zbMATH Keywords

parabolic equationsexistence and regularity of solutionscontinuous dependence of solutionsfractional \(p\)-Laplace operatorlocal Lipschitz continuitynonlinear Submarkovian semigroupsnonlocal quasi-linear and nonlinear elliptic type equationsultracontractivity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods involving nonlinear operators (47J30) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) Fractional partial differential equations (35R11)

Related Items (17)

The fractional Neumann and Robin type boundary conditions for the regional fractional \(p\)-Laplacian ⋮ The Dirichlet problem for the \(p\)-fractional Laplace equation ⋮ Bounded solutions for nonlocal boundary value problems on Lipschitz manifolds with boundary ⋮ Non-local diffusion equations involving the fractional \(p(\cdot)\)-Laplacian ⋮ Unnamed Item ⋮ Large time behavior for a nonlocal nonlinear gradient flow ⋮ Random dynamics of non-autonomous fractional stochastic \(p\)-Laplacian equations on \(\mathbb{R}^N\) ⋮ Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains ⋮ On a fractional \((s,p)\)-Dirichlet-to-Neumann operator on bounded Lipschitz domains ⋮ Asymptotic behavior of non-autonomous fractional stochastic \(p\)-Laplacian equations ⋮ Neumann fractional \(p\)-Laplacian: eigenvalues and existence results ⋮ Unnamed Item ⋮ Continuity of solutions to a nonlinear fractional diffusion equation ⋮ Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence ⋮ Nonlocal fractional system involving the fractional \(p, q\)-Laplacians and singular potentials ⋮ Unnamed Item ⋮ Asymptotic behavior of non-autonomous fractional p-Laplacian equations driven by additive noise on unbounded domains

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