1 citations · 1 across the 8 of their papers we have counts for
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On least energy solutions for a nonlinear Schrödinger system with -wise interaction
Lorenzo Giaretto, Nicola Soave
In this paper we establish existence and properties of minimal energy solutions for the weakly coupled system $$ \begin{cases} -Δu_i + λ_i u_i = μ_i|u_i|^{Kq-2}u_i + β|u_i|^{q-2}u_…
On partially segregated harmonic maps: optimal regularity and structure of the free boundary
Nicola Soave, Susanna Terracini
We consider triplets of densities minimizing the Dirichlet energy \[\sum_{j=1}^3 \int_Ω |\nabla u_j|^2\,dx \] over a bounded domain , subject…
On some singularly perturbed elliptic systems modeling partial segregation: uniform Hölder estimates and basic properties of the limits
Nicola Soave, Susanna Terracini
We prove uniform Hölder estimates in a class of singularly perturbed competition-diffusion elliptic systems, with the particular feature that the interactions between the component…
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…