Wadim Gerner

activity

20192025

most citedExistence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes

10 citations · 24 across the 10 of their papers we have counts for

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Showing 2022 · math.APShow all

3 papers · 2 filters

math.AP2022

A unique continuation theorem for exterior differential forms on Riemannian manifolds with boundary

Wadim Gerner

Aronszajn, Krzywicki and Szarski proved in \cite{AKS62} a strong unique continuation result for differential forms, satisfying a certain first order differential inequality, on Rie…

math.AP2022★ 5 cited

Isoperimetric problem for the first curl eigenvalue

Wadim Gerner

We consider an isoperimetric problem involving the smallest positive and largest negative curl eigenvalues on abstract ambient manifolds, with a focus on the standard model spaces.…

math.AP2022★ 3 cited

Optimal convex domains for the first curl eigenvalue

Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas

We prove that there exists a bounded convex domain $Ω \subset R^{3}$ of fixed volume that minimizes the first positive curl eigenvalue among all other bounded convex domains…