107 citations · 382 across the 27 of their papers we have counts for
4 papers · 1 filter
A fountain of positive Bubbles on a Coron's Problem for a Competitive Weakly Coupled Gradient System
Angela Pistoia, Nicola Soave, Hugo Tavares
We consider the following critical elliptic system: \begin{equation*} \begin{cases} -Δu_i=μ_i u_i^{3}+βu_i^{ } \sum\limits_{j\neq i} u_j^{2} \quad \hbox{in}\ Ω_\varepsilon \\ u_i=0…
Bose fluids and positive solutions to weakly coupled systems with critical growth in dimension two
Daniele Cassani, Hugo Tavares, Jianjun Zhang
We prove, using variational methods, the existence in dimension two of positive vector ground states solutions for the Bose-Einstein type systems \begin{equation} \begin{cases} -Δu…
Normalized solutions for Nonlinear Schrödinger systems on bounded domains
Benedetta Noris, Hugo Tavares, Gianmaria Verzini
We analyze -normalized solutions of nonlinear Schrödinger systems of Gross-Pitaevskii type, on bounded domains, with homogeneous Dirichlet boundary conditions. We provide suff…
Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems
Massimo Grossi, Alberto Saldaña, Hugo Tavares
We consider radial solutions of the slightly subcritical problem either on () or…