Denis Brazke

activity

20192026

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math.AP2026

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 $E_{γ, ε}$ on the round sphere $M = S^{n}$ , where the non-local interaction kernel $K_{ε}$ is the fundamental s…

math.AP2025

Gamma-Convergence of Higher-Order Phase Transition Models

Denis Brazke, Gianna Götzmann, Hans Knüpfer

We investigate the asymptotic behavior as $ε \to 0$ of singularly perturbed phase transition models of order $n \geq 2$ , given by \begin{align} G_\varepsilon^{λ,n}[u] :=…

math.AP2019

On BMO and Carleson measures on Riemannian manifolds

Denis Brazke, Armin Schikorra, Yannick Sire

Let $M$ be a Riemannian $n$ -manifold with a metric such that the manifold is Ahlfors-regular. We also assume either non-negative Ricci curvature, or that the Ricci curvat…