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一类非线性Choquard方程解的存在性 被引量：1

Existence of solution for a class of nonlinear Choquard equation
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摘要 研究了一类非线性Choquard方程-Δu(x)+V(x)u(x)=a(x)∫R3a(y)|u(y)|p|x-y|μdy|u(x)|p-2u(x)解的存在性.其中,0<μ<3,6-μ3<p<6-μ.在位势函数V(x)及函数a(x),a(y)满足适当条件下,运用变分方法证明了方程非平凡弱解的存在性. It was discussed the existence of solution for a class of nonlinear Choquard equation △u（x）＋V（x）u（x）=a（x）∫R3a（y）｜u（y）｜u（y）/｜x-y｜μdy｜ u（x）｜p-2u（x）whereo〈μ 〈3,6-μ/3〈p〈6-μ.Under Suitable assumptions on the potential V{x} and function a lx},a { y}, the existence of the nontrivial solution was proved via variational method.
作者 周庆翡 沈自飞
机构地区 浙江师范大学数理与信息工程学院
出处 《浙江师范大学学报（自然科学版）》 CAS 2014年第1期26-33,共8页 Journal of Zhejiang Normal University:Natural Sciences
基金 国家自然科学基金资助项目(11271331)
关键词 (PS)条件 变分方法 Choquard方程 存在性 （ PS ） condition variational method Choquard equation existence
分类号 O177.91 [理学—基础数学]
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参考文献9

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二级参考文献14

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浙江师范大学学报（自然科学版）
2014年 第1期

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