1 citations · 1 across the 7 of their papers we have counts for
11 papers
Free boundary problems with long-range interactions: uniform Lipschitz estimates in the radius
Nicola Soave, Hugo Tavares, Alessandro Zilio
Consider the class of optimal partition problems with long range interactions \[ \inf \left\{ \sum_{i=1}^k λ_1(ω_i):\ (ω_1,\ldots, ω_k) \in \mathcal{P}_r(Ω) \right\}, \] where $λ_1…
Ground states for the NLS equation with combined nonlinearities on non-compact metric graphs
Dario Pierotti, Nicola Soave
We investigate the existence of ground states with prescribed mass for the NLS energy with combined -critical and subcritical nonlinearities, on a general non-compact metric g…
An anisotropic monotoncity formula, with applications to some segregation problems
Nicola Soave, Susanna Terracini
We prove an Alt-Caffarelli-Friedman montonicity formula for pairs of functions solving elliptic equations driven by different ellipticity matrices in their positivity sets. As appl…
Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity
Nicola Soave
In this paper we prove the existence of infinitely many saddle-shaped positive solutions for non-cooperative nonlinear elliptic systems with bistable nonlinearities in the phase-se…
Local minimizers in absence of ground states for the critical NLS energy on metric graphs
Dario Pierotti, Nicola Soave, Gianmaria Verzini
We consider the mass-critical nonlinear Schrödinger equation on non-compact metric graphs. A quite complete description of the structure of the ground states, which correspond to g…
On unique continuation principles for some elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg, Nicola Soave
In this paper we prove unique continuation principles for some systems of elliptic partial differential equations satisfying a suitable superlinearity condition. As an application,…