We study the existence of standing waves, of prescribed L 2-norm (the mass), for the
nonlinear Schrödinger equation with mixed power nonlinearities i∂ t ϕ+ Δ ϕ+ μ ϕ| ϕ| q-2+ …

We consider the cubic-quintic nonlinear Schrödinger equation of up to three space
dimensions. The cubic nonlinearity is thereby focusing while the quintic one is defocusing …

We study the existence of ground state standing waves, of prescribed mass, for the
nonlinear Schrödinger equation with mixed power nonlinearities i∂ t v+ Δ v+ μ v| v| q− 2+ v …

In any dimension N≥ 1, for given mass m> 0 and for the C 1 energy functional I (u):= 1 2∫
RN|∇ u| 2 dx-∫ RNF (u) dx, we revisit the classical problem of finding conditions on F∈ C 1 …

We study the existence, non-existence and multiplicity of prescribed mass positive solutions
to a Schrödinger equation of the form− Δ u+ λ u= g (u), u∈ H 1 (RN), N≥ 1. Our approach …

We study asymptotic behaviour of positive ground state solutions of the nonlinear Choquard
equation (P ε)− Δ u+ ε u=(I α⁎| u| p)| u| p− 2 u+| u| q− 2 u, in RN, where N≥ 3 is an integer …

In any dimension N≥ 1, for given mass m> 0 and when the C 1 energy functional I (u):= 1
2∫ ℝ N|∇ u| 2 dx−∫ ℝ NF (u) dx is coercive on the mass constraint S m:= u∈ H 1 (ℝ N)|∥ …

We give a new method to prove the existence, non-existence, multiplicity, orbital
stability/instability of standing waves for NLS with partial confinement without the subcritical …

We consider the nonlinear Schr\" odinger equation with combined nonlinearities, where the
leading term is an intracritical focusing power-type nonlinearity, and the perturbation is given …

We investigate the existence of ground states at prescribed mass on general metric graphs
with half-lines for focussing doubly nonlinear Schrödinger equations involving both a …