310 citations · 4.1k across the 146 of their papers we have counts for
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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…