Existence and quantum calculus of weak solutions for a class of two-dimensional Schrodinger equations in C+

被引：0
|
作者：
Xing, Yifan [1 ,2 ,3 ]
Zhao, Jinhui [4 ]
机构：
[1] Qingyuan Polytech, Sch Mechanotron & Vehicle Engn, Qingyuan, Peoples R China
[2] Shenzhen Quantum Wisdom Culture Dev Co, Shenzhen, Peoples R China
[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore, Singapore
[4] China Jiliang Univ, Coll Mech & Elect Engn, Hangzhou, Zhejiang, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2018年
基金：
中国国家自然科学基金;
关键词：
Two-dimensional Schrodinger equation; Schrodinger type inequality; Boundary behavior; Singular solution;
D O I：
10.1186/s13661-018-0975-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to investigate the existence of weak solutions for a two-dimensional Schrodinger equation with a singular potential in C+. Under appropriate assumptions on the nonlinearity, we introduce a new type of quantum calculus via the Morse theory and variational methods. By applying Schrodinger type inequalities and the well-known Banach fixed point theorem in conjunction with the technique of measures of weak noncompactness, the new and more accurate estimations for boundary behaviors of them are also deduced.
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页码：1 / 10
页数：10
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