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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

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Showing 2016 · math.APShow all

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math.AP2016★ 103 cited

Existence and Stability of standing waves for supercritical NLS with a Partial Confinement

J. Bellazzini, N. Boussaid, L. Jeanjean +1

We prove the existence of orbitally stable ground states to NLS with a partial confinement together with qualitative and symmetry properties. This result is obtained for nonlineari…

math.AP2016

Multiple complex-valued solutions for nonlinear magnetic Schrodinger equations

Silvia Cingolani, Louis Jeanjean, Kazunaga Tanaka

We study, in the semiclassical limit, the singularly perturbed nonlinear Schrödinger equations $$ L^{\hbar}_{A,V} u = f(|u|^2)u \quad \mbox{in } R^N $$ where , $L^{\hbar}…