37 citations · 164 across the 28 of their papers we have counts for
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math.AP2013★ 2 cited
Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
Francesco Della Pietra, Nunzia Gavitone
In this paper we study the main properties of the first eigenvalue and its eigenfunctions of a class of highly nonlinear elliptic operators in a bounded Lipschitz domain, assuming…
math.AP2013
Characterization of ellipsoids through an overdetermined boundary value problem of Monge-Ampère type
Barbara Brandolini, Nunzia Gavitone, Carlo Nitsch +1
The study of the optimal constant in an Hessian-type Sobolev inequality leads to a fully nonlinear boundary value problem, overdetermined with non standard boundary conditions. We…
math.AP2013★ 10 cited
Stability results for some fully nonlinear eigenvalue estimates
Francesco Della Pietra, Nunzia Gavitone
In this paper, we give some stability estimates for the Faber-Krahn inequality relative to the eigenvalues of Hessian operators