Stability of Schr&ouml;dinger-Poisson type equations

HUANG Juan; ZHANG Jian; CHEN Guang-Gan

doi:10.1007/s10483-009-1113-y

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 11: 1469 - 1474

DOI: https://doi.org/10.1007/s10483-009-1113-y

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Stability of Schrödinger-Poisson type equations

HUANG Juan ,
ZHANG Jian ,
CHEN Guang-Gan

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College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

Received date: 2008-01-02

Revised date: 2009-07-10

Online published: 2009-11-01

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Abstract

Variational methods are used to study the nonlinear Schr¨odinger-Poisson type equations which model the electromagnetic wave propagating in the plasma in physics. By analyzing the Hamiltonian property to construct a constrained variational problem, the existence of the ground state of the system is obtained. Furthermore, it is shown that the ground state is orbitally stable.

Key words： Schrödinger-Poisson type equations; ground state; existence; orbital stability

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HUANG Juan , ZHANG Jian , CHEN Guang-Gan . Stability of Schrödinger-Poisson type equations[J]. Applied Mathematics and Mechanics, 2009 , 30(11) : 1469 -1474 . DOI: 10.1007/s10483-009-1113-y

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