文献类型：期刊文献

英文题名：Normalized Solutions for the Schrodinger Equations with L2-Subcritical Growth and Different Types of Potentials

作者：Alves, Claudianor O.[1];Ji, Chao[2]

机构：[1]Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, Paraiba, Brazil;[2]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2022

卷号：32

期号：5

外文期刊名：JOURNAL OF GEOMETRIC ANALYSIS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000770613300001)】；

基金：C. O. Alves was partially supported by CNPq/Brazil 304804/2017-7. C. Ji was partially supported by National Natural Science Foundation of China (No. 12171152) and Natural Science Foundation of Shanghai (No. 20ZR1413900).

语种：英文

外文关键词：Normalized solutions; Schrodinger equations; Potentials; Magnetic fields; Variational methods

摘要：In this paper, by using the variational methods, we study the existence of minimizer of the L-2-constraint minimization problem: gamma(a) = inf {J (u) : u is an element of H-1 (R-N), integral(RN) vertical bar u vertical bar(2)dx = a(2)} with different types of potentials, where J (u) = 1/2 integral(RN) vertical bar del u vertical bar(2) dx + 1/2 integral(RN) V(x)vertical bar u vertical bar(2) dx - 1/q integral(RN) vertical bar u vertical bar(q) dx, and a > 0, q is an element of (2, 2 + 4/N) with N >= 2 and the potential V : R-N ->[0,+infinity) is a bounded and continuous function. Moreover, we also prove some similar results for the nonlinear Schrodinger equations with magnetic fields and different types of potentials.