6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.AP2017★ 3 cited
Equilibrium shapes of charged droplets and related problems: (mostly) a review
Michael Goldman, Berardo Ruffini
We review some recent results on the equilibrium shapes of charged liquid drops. We show that the natural variational model is ill-posed and how this can be overcome by either rest…
math.AP2017★ 6 cited
Schrödinger operators with negative potentials and Lane-Emden densities
Lorenzo Brasco, Giovanni Franzina, Berardo Ruffini
We consider the Schrödinger operator for negative potentials , on open sets with positive first eigenvalue of the Dirichlet-Laplacian. We show that the spectrum of …
math.AP2015
Compact Sobolev embeddings and torsion functions
Lorenzo Brasco, Berardo Ruffini
For a general open set, we characterize the compactness of the embedding in terms of the summability of its torsion function. In particular, for $1\l…