Multiple Normalized Solutions for Nonlinear Biharmonic Schr?dinger Equations in ■N with L2-Subcritical Growth
作者机构：Department of Mathematics Sun Yat-sen University College of Science East China Jiaotong University School of Mathematics and Statistics Hubei University of Arts and Science
出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报(英文版))
年 卷 期：2024年
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by the National Natural Science Foundation of China (No. 12161038) Science and Technology project of Jiangxi provincial Department of Education (No. GJJ212204 and No. GJJ2200635) Natural Science Foundation program of Jiangxi Province (20232BAB201009)
摘 要：In this article, we consider the existence of normalized solutions for the following nonlinear biharmonic Schr?dinger equations:■where c, ε 0, N ≥ 5, λ ∈ R is a Lagrange multiplier and is unknown, h ∈ C（■N, [0, ∞）), f : R → R is continuous function satisfying L2-subcritical growth. When ε is small enough, we get multiple normalized solutions. Moreover, we also obtain orbital stability of the solutions.
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