一类含有拟线性项Schrodinger方程的多重正解存在性  

Multiple Positive Solutions to a Class of Quasilinear Schrödinger Equations

作　　者：林颖婕 吴丽萍 LIN Yingjie;WU Liping(School of Mathematics and Statistics,Fujian Normal University,Fuzhou,Fujian 350117,China;School of Computer and Data Science,Minjiang University,Fuzhou,Fujian 350108,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]闽江学院计算机与大数据学院,福建福州350108

出　　处：《福建技术师范学院学报》2024年第5期25-29,37,共6页JOURNAL OF FUJIAN POLYTECHNIC NORMAL UNIVERSITY

摘　　要：在一维空间中研究一类含有拟线性项β(|u|^(2α))″[|u|]^(2α-2)u的Schrodinger方程,利用山路定理证明了正解的存在性.ln this paper a class of quasilinear Schrödinger equations is studied.The existence of the multiple positive solutions is proved by using the mountain-pass theorem.

关 键 词：SCHRODINGER方程 正解 拟线性项 山路定理 

分 类 号：O175.25[理学—数学]