most citedAn Anzellotti type pairing for divergence-measure fields and a notion of weakly super--harmonic functions

6 citations · 6 across the 2 of their papers we have counts for

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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…

math.AP2017★ 6 cited

An Anzellotti type pairing for divergence-measure fields and a notion of weakly super--harmonic functions

Christoph Scheven, Thomas Schmidt

We study generalized products of divergence-measure fields and gradient measures of {\rm BV} functions. These products depend on the choice of a representative of the {\rm BV} func…

math.AP2015

Minimizers of higher order gauge invariant functionals

Andreas Gastel, Christoph Scheven

We introduce higher order variants of the Yang-Mills functional that involve th order derivatives of the curvature. We prove coercivity and smoothness of critical points in…