1 citations · 1 across the 5 of their papers we have counts for
5 papers
Optimal concavity of the torsion function
A. Henrot, C. Nitsch, P. Salani +1
In this short note we consider an unconventional overdetermined problem for the torsion function: let and be a bounded open set in whose torsion functi…
The quantitative Faber-Krahn inequality for the Robin Laplacian
D. Bucur, V. Ferone, C. Nitsch +1
We prove a quantitative Faber-Krahn inequality for the first eigenvalue of the Laplace operator with Robin boundary conditions. The asymmetry term involves the square power of the…
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…
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…