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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 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…