107 citations · 382 across the 27 of their papers we have counts for
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New existence and symmetry results for least energy positive solutions of Schrödinger systems with mixed competition and cooperation terms
Nicola Soave, Hugo Tavares
In this paper we focus on existence and symmetry properties of solutions to the cubic Schrödinger system \[ -Δu_i +λ_i u_i = \sum_{j=1}^d β_{ij} u_j^2 u_i \quad \text{in $Ω\subset…
Existence and symmetry of least energy nodal solutions for Hamiltonian elliptic systems
Denis Bonheure, Ederson Moreira dos Santos, Miguel Ramos +1
In this paper we prove existence of least energy nodal solutions for the Hamiltonian elliptic system with Hénon-type weights \[ -Δu = |x|^β |v|^{q-1}v, \quad -Δv =|x|^α|u|^{p-1}u\q…
Stable solitary waves with prescribed -mass for the cubic Schrödinger system with trapping potentials
Benedetta Noris, Hugo Tavares, Gianmaria Verzini
For the cubic Schrödinger system with trapping potentials in , , or in bounded domains, we investigate the existence and the orbital stability of standing wav…
Hamiltonian elliptic systems: a guide to variational frameworks
Denis Bonheure, Ederson Moreira dos Santos, Hugo Tavares
Consider a Hamiltonian system of type \[ -Δu=H_{v}(u,v),\ -Δv=H_{u}(u,v) \ \ \text{ in } Ω, \qquad u,v=0 \text{ on } \partial Ω\] where is a power-type nonlinearity, for instan…