5 papers · 1 filter
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} -Îu_i + λ_i u_i = μ_i|u_i|^{Kq-2}u_i + β|u_i|^{q-…
Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case
Nicola Soave
We study existence and properties of ground states for the nonlinear Schrödinger equation with combined power nonlinearities \[ -Îu= λu + μ|u|^{q-2} u + |u|^{2^*-2} u \qquad \t…
Normalized ground states for the NLS equation with combined nonlinearities
Nicola Soave
We study existence and properties of ground states for the nonlinear Schrödinger equation with combined power nonlinearities \[ -Îu= λu + μ|u|^{q-2} u + |u|^{p-2} u \qquad \tex…
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 , subje…
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 componen…