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Proceedings of the London Mathematical Society· 2013Q1

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

Jacopo Bellazzini, Louis Jeanjean, Tingjian Luo

Short summary

Researchers proved the existence of standing wave solutions for a class of Schrödinger-Poisson-Slater equations when the L2-norm is sufficiently small, and demonstrated that these solutions are strongly unstable.

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Field: Mathematical Physics

Mathematical PhysicsMathematics