Naian Liao

most citedHölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2024

Regularity for the fractional $p$ -Laplace equation

Verena Bögelein, Frank Duzaar, Naian Liao +2

Higher Sobolev and Hölder regularity is studied for local weak solutions of the fractional $p$ -Laplace equation of order $s$ in the case $p \geq 2$ . Depending on the regime considere…

math.AP2024

On the modulus of continuity of solutions to nonlocal parabolic equations

Naian Liao

A general modulus of continuity is quantified for locally bounded, local, weak solutions to nonlocal parabolic equations, under a minimal tail condition. Hölder modulus of continui…

math.AP2023★ 1 cited

Hölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

Verena Bögelein, Frank Duzaar, Ugo Gianazza +2

This paper is devoted to studying the local behavior of non-negative weak solutions to the doubly non-linear parabolic equation \begin{equation*} \partial_t u^q - \text{div}\big(|D…

Regularity for the fractional p-Laplace equation

On the modulus of continuity of solutions to nonlocal parabolic equations

Hölder Continuity of the Gradient of Solutions to Doubly Non-Linear Parabolic Equations

Regularity for the fractional $p$ -Laplace equation