11 citations · 41 across the 27 of their papers we have counts for
4 papers · 2 filters
Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior
Naian Liao
We demonstrate a measure theoretical approach to the local regularity of weak supersolutions to elliptic and parabolic equations in divergence form. In the first part, we show that…
Remarks on parabolic De Giorgi classes
Naian Liao
We make several remarks concerning properties of functions in parabolic De Giorgi classes of order . There are new perspectives including a novel mechanism of propagating positi…
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…
A Boundary Estimate for Singular Sub-Critical Parabolic Equations
Ugo Gianazza, Naian Liao
We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of -laplacian type, with $…