Denis Brazke

collaborators

2 papers

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 $E_{I^^{3}, ε}$ on the round sphere $M = S^{n}$ , where the non-local interaction kernel $K_{ε}$ is the fundamental…

math.AP2025

Gamma-Convergence of Higher-Order Phase Transition Models

Denis Brazke, Gianna GÃ¶tzmann, Hans KnÃ¼pfer

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^{Î»,n}[u] :=…