15 citations · 19 across the 5 of their papers we have counts for
5 papers
A Riemannian Autocorrelation Function and its Application to Non-Local Isoperimetric Energies
Michael Bleher, Denis Brazke, Sebastian Nill
We study a family of non-local isoperimetric energies on the round sphere , where the non-local interaction kernel is the fundamental s…
Gamma-Convergence of Higher-Order Phase Transition Models
Denis Brazke, Gianna Götzmann, Hans Knüpfer
We investigate the asymptotic behavior as of singularly perturbed phase transition models of order , given by \begin{align} G_\varepsilon^{λ,n}[u] :=…
-limit for a sharp interface model related to pattern formation on biomembranes
Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra
We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in bio…
Bourgain-Brezis-Mironescu Convergence via Triebel-Lizorkin Spaces
Denis Brazke, Armin Schikorra, Po-Lam Yung
We study a convergence result of Bourgain--Brezis--Mironescu (BBM) using Triebel-Lizorkin spaces. It is well known that as spaces , and $H^{1,p} = F^{1}_{p,2…
On BMO and Carleson measures on Riemannian manifolds
Denis Brazke, Armin Schikorra, Yannick Sire
Let be a Riemannian -manifold with a metric such that the manifold is Ahlfors-regular. We also assume either non-negative Ricci curvature, or that the Ricci curvat…