11 citations · 42 across the 30 of their papers we have counts for
4 papers · 1 filter
The equality case in a Poincaré-Wirtinger type inequality
B. Brandolini, F. Chiacchio, D. Krejčiřík +1
In this paper, generalizing to the non smooth case already existing results, we prove that, for any convex planar set , the first non-trivial Neumann eigenvalue of the…
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…
Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift
Barbara Brandolini, Francesco Chiacchio, Antoine Henrot +1
This paper deals with the eigenvalue problem for the operator with Dirichlet boundary conditions. We are interested in proving the existence of a set minimizi…
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…