Existence and asymptotic properties of solutions for a nonlinear Schrodinger elliptic equation from geophysical fluid flows

被引：62
作者：
Zhang, Xinguang [1 ,3 ]
Jiang, Jiqiang [2 ]
Wu, Yonghong [3 ]
Cui, Yujun [4 ]
机构：
[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
[4] Shandong Univ Sci & Technol, Dept Math, Qingdao 266590, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 90卷
基金：
中国国家自然科学基金;
关键词：
Renormalization; Schrodinger elliptic equations; Asymptotic behavior; Geophysical fluid flows; Radial positive solutions; SIGN-CHANGING SOLUTIONS; BLOW-UP SOLUTIONS; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS; MONOTONE SOLUTIONS; KIRCHHOFF TYPE; P-LAPLACIAN; NONEXISTENCE; SYSTEM;
D O I：
10.1016/j.aml.2018.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and asymptotic behavior of radial solutions for a class of nonlinear Schrodinger elliptic equations on infinite domains describing the gyre of geophysical fluid flows. The existence theorem and asymptotic properties of radial positive solutions are established by using a new renormalization technique. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：229 / 237
页数：9
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