10 citations · 24 across the 10 of their papers we have counts for
4 papers · 1 filter
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…
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.…
Optimal convex domains for the first curl eigenvalue
Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
We prove that there exists a bounded convex domain of fixed volume that minimizes the first positive curl eigenvalue among all other bounded convex domains…
Existence and structure of symmetric Beltrami flows on compact -manifolds
Wadim Gerner
We show that for almost every given symmetry transformation of a Riemannian manifold there exists an eigenvector field of the curl operator, corresponding to a non-zero eigenvalue,…