文献类型：期刊文献

英文题名：Ground state sign-changing solutions for a class of nonlinear fractional Schr?dinger-Poisson system in R3

作者：Ji, Chao[1]

机构：[1] Department of Mathematics, East China University of Science and Technology, Shanghai, 200237, China

年份：2017

外文期刊名：arXiv

收录：EI(收录号：20200218657)

语种：英文

外文关键词：Deformation - Ground state - Ordinary differential equations

摘要：In this paper, we are concerned with the existence of the least energy sign-changing solutions for the following fractional Schr?dinger-Poisson system: (formula presented) , , where λ ∈ R+ is a parameter, s, t ∈ (0, 1) and 4s + 2t > 3, (??)s stands for the fractional Laplacian. By constraint variational method and quantitative deformation lemma, we prove that the above problem has one least energy sign-changing solution. Moreover, for any λ > 0, we show that the energy of the least energy sign-changing solutions is strictly larger than two times the ground state energy. Finally, we consider λ as a parameter and study the convergence property of the least energy sign-changing solutions as λ 0.MSC Codes 35J61, 58E30 Copyright ? 2017, The Authors. All rights reserved.