37 citations · 178 across the 19 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.OC2013
Symmetry breaking in a constrained Cheeger type isoperimetric inequality
Barbara Brandolini, Francesco Della Pietra, Carlo Nitsch +1
We study the optimal constant in a Sobolev inequality for BV functions with zero mean value and vanishing outside a bounded open set. We are interested in finding the best possible…
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