L. Jeanjean

activity

20072026

most citedExistence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

265 citations · 1.7k across the 44 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.AP2014★ 139 cited

On dipolar quantum gases in the unstable regime

Jacopo Bellazzini, Louis Jeanjean

We study the nonlinear Schrödinger equation arising in dipolar Bose-Einstein condensate in the unstable regime. Two cases are studied: the first when the system is free, the second…

math.AP2014

Multiple solutions for an indefinite elliptic problem with critical growth in the gradient

Louis Jeanjean, Humberto Ramos Quoirin

We consider the problem $(P)$ , $- Δ u = c (x) u + μ ∣\nabla u ∣^{2} + f (x), u \in H_{0}^{1} (Ω) \cap L^{\infty} (Ω),$ where $Ω$ is a bounded domain of $R^{N}$ , $N \geq 3$ , $μ>0, \, c…

math.AP2014★ 5 cited

Multiple normalized solutions for quasi-linear Schrödinger equations

Louis Jeanjean, Tingjian Luo, Zhi-Qiang Wang

In this paper we prove the existence of two solutions having a prescribed $L^{2}$ -norm for a quasi-linear Schrödinger equation. One of these solutions is a mountain pass solution rel…