1 citations · 4 across the 12 of their papers we have counts for
4 papers · 2 filters
Positive solutions to the sublinear Lane-Emden equation are isolated
Lorenzo Brasco, Guido De Philippis, Giovanni Franzina
We prove that on a smooth bounded set, the positive least energy solution of the Lane-Emden equation with sublinear power is isolated. As a corollary, we obtain that the first …
Regularity of the free boundary for the two-phase Bernoulli problem
Guido De Philippis, Luca Spolaor, Bozhidar Velichkov
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As…
The sharp quantitative isocapacitary inequality
Guido De Philippis, Michele Marini, Ekaterina Mukoseeva
We prove a sharp quantitative form of the classical isocapacitary inequality. Namely, we show that the difference between the capacity of a set and that of a ball with the same vol…
Regularity of minimizers for a model of charged droplets
Guido De Philippis, Jonas Hirsch, Giulia Vescovo
We investigate properties of minimizers of a variational model describing the shape of charged liquid droplets. The model, proposed by Muratov and Novaga, takes into account the re…