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一类非线性Schrdinger-Poisson方程解的存在性 被引量:1

Existence of solutions for a class of Schrdinger-Poisson equations
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摘要 本文研究非线性Schrdinger-Poisson方程问题{-Δu+u+φu=μf(u)-Δφ=u2,x∈R3,x∈R3,其中μ>0。在对f(u)只于零点附近加条件的情形下,利用变分法给出了该方程解的存在性结果,并且得到了解关于参数的依赖性。 In this paper,we deal with the nonlinear Schrdinger-Poisson equation{-Δu+u+φu=μf(u)-Δφ=u2,x∈R3,x∈R3,where μ> For f(u) juest in the .neighborhood of the origin,we obtain the,existence of nontrivial radial solutions and the dependence of the solutions on the parameter μ via variational methods.
作者 马锋 赵雷嘎
出处 《北京化工大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第2期119-124,共6页 Journal of Beijing University of Chemical Technology(Natural Science Edition)
基金 北京市青年英才计划(YETP0515)
关键词 Schrodinger-Poisson方程 变分法 (P.S)条件 L∞估计 Schrdinger-Poisson equation variational method (P.S) conditions L∞-estimate
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