310 citations · 4.1k across the 146 of their papers we have counts for
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Optimisation of the lowest Robin eigenvalue in exterior domains of the hyperbolic plane
Antonio Celentano, David Krejcirik, Vladimir Lotoreichik
We consider the Robin Laplacian in the exterior of a bounded simply-connected Lipschitz domain in the hyperbolic plane. We show that the essential spectrum of this operator is $[\f…
A spectral isoperimetric inequality on the n-sphere for the Robin-Laplacian with negative boundary parameter
Paolo Acampora, Antonio Celentano, Emanuele Cristoforoni +2
For every given , we study the problem of maximizing the first Robin eigenvalue of the Laplacian among convex (not necessarily smooth) sets w…
A Talenti comparison result for a class of Neumann boundary value problems
Antonio Celentano, Carlo Nitsch, Cristina Trombetti
In this paper, we establish a comparison principle in terms of Lorentz norms and point-wise inequalities between a positive solution to the Poisson equation with non-homogeneou…
On a Serrin-type overdetermined problem
Antonio Celentano, Carlo Nitsch, Cristina Trombetti
In this paper, we prove a Serrin-type result for an elliptic system of equations, overdetermined with both Dirichlet and a generalized Neumann conditions. With this tool, we charac…
A remark on solutions to semilinear equations with Robin boundary conditions
Antonio Celentano, Alba Lia Masiello, Gloria Paoli
Symmetry properties of solutions to elliptic quasilinear equations have been widely studied in the context of Dirichlet boundary conditions. We show that, in the context of Robin b…