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

被引：61

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.

引用

页码：229 / 237

页数：9

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