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math.AP2011★ 3 cited
An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity
Masaya Maeda, Satoshi Masaki
In this article, we consider nonlinear Schrödinger equation with nonlocal nonlinearity which is a generalized model of the Schrödinger-Poisson system (Schrödinger-Newton equations)…
math.AP2011★ 3 cited
Analysis of Hartree equation with an interaction growing at the spatial infinity
Satoshi Masaki
We consider nonlinear Schrödinger equation with a Hartree-type nonlocal nonlinearity. The case where a nonlinear interaction potential grows at the spatial infinity is studied. By…