3 papers
math.AP2024
Gradient regularity for -harmonic functions
Verena Bögelein, Frank Duzaar, Naian Liao +2
We study the local regularity properties of -harmonic functions, i.e. local weak solutions to the fractional -Laplace equation of order in the case $p\in (1,…
math.AP2021
On the Hölder regularity of signed solutions to a doubly nonlinear equation. Part II
Verena Bögelein, Frank Duzaar, Naian Liao +1
We demonstrate two proofs for the local Hölder continuity of possibly sign-changing solutions to a class of doubly nonlinear parabolic equations whose prototype is \[ \partial_t\bi…
math.AP2020
On the Hölder regularity of signed solutions to a doubly nonlinear equation
Verena Bögelein, Frank Duzaar, Naian Liao
We establish the interior and boundary Hölder continuity of possibly sign-changing solutions to a class of doubly nonlinear parabolic equations whose prototype is \[ \partial_t\big…