1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
Local boundedness and higher integrability for the sub-critical singular porous medium system
Verena Bögelein, Frank Duzaar, Ugo Gianazza +1
The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the crit…
math.AP2024
Regularity for the fractional -Laplace equation
Verena Bögelein, Frank Duzaar, Naian Liao +2
Higher Sobolev and Hölder regularity is studied for local weak solutions of the fractional -Laplace equation of order in the case . Depending on the regime considere…
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…