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.

引用

页码：1 / 10

页数：10

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