12 citations · 51 across the 32 of their papers we have counts for
4 papers · 1 filter
The elastica problem under area constraint
Vincenzo Ferone, Bernd Kawohl, Carlo Nitsch
We show that the elastic energy of a closed curve has a minimizer among all plane simple regular closed curves of given enclosed area , and that the minimum is att…
An inequality à la Szegő-Weinberger for the Laplacian on convex sets
L. Brasco, C. Nitsch, C. Trombetti
In this paper we prove a sharp inequality of Szegő-Weinberger type for the first nontrivial eigenvalue of the Laplacian with Neumann boundary conditions. This applies to convex…
The Neumann eigenvalue problem for the -Laplacian
L. Esposito, B. Kawohl, C. Nitsch +1
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the -Laplacian, suitable normalized, converges as goes to to a viscosity solution of an eig…
On the first Dirichlet Laplacian eigenvalue of regular Polygons
Carlo Nitsch
The Faber-Krahn inequality in states that among all open bounded sets of given area the disk minimizes the first Dirichlet Laplacian eigenvalue. There are numerical…