文献类型：期刊文献

英文题名：LEAST ENERGY SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR SCHRODINGER-POISSON SYSTEM

作者：Ji, Chao[1];Fang, Fei[2];Zhang, Binlin[3]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Beijing Technol & Business Univ, Dept Math, Beijing 100048, Peoples R China;[3]Heilongjiang Inst Technol, Dept Math, Harbin 150050, Heilongjiang, Peoples R China

年份：2017

外文期刊名：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000415251100001)】；

基金：C. Ji is supported by NSFC (grant No. 11301181) and China Postdoctoral Science Foundation funded project. F. Fang is supported by NSFC (grant No. 11626038) and Young Teachers Foundation of BTBU (No. QNJJ2016-15). B. Zhang is supported by Research Foundation of Heilongjiang Educational Committee (No. 12541667).

语种：英文

外文关键词：Schrodinger-Poisson system; sign-changing solutions; constraint variational method; quantitative deformation lemma

摘要：This article concerns the existence of the least energy sign-changing solutions for the Schrodinger-Poisson system -Delta u + V(x)u + lambda phi(x)u = f(u), in R-3, -Delta phi = u(2), in R-3. Because the so-called nonlocal term lambda phi(x) u is involved in the system, the variational functional of the above system has totally different properties from the case of lambda = 0. By constraint variational method and quantitative deformation lemma, we prove that the above problem has one least energy sign-changing solution. Moreover, for any lambda > 0, we show that the energy of a sign-changing solution is strictly larger than twice of the ground state energy. Finally, we consider lambda as a parameter and study the convergence property of the least energy sign-changing solutions as lambda SE arrow 0.