2 citations · 2 across the 3 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 $Ω\subset\mathbb{S}^{…
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…