Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in C+ $\mathbb{C}_{+}$

Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in C+ $\mathbb{C}_{+}$

Abstract The aim of this paper is to investigate the existence of weak solutions for a two-dimensional Schrödinger equation with a singular potential in C+ $\mathbb{C}_{+}$. Under appropriate assumptions on the nonlinearity, we introduce a new type of quantum calculus via the Morse theory and variat...

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Bibliographic Details
Main Authors: Yifan Xing, Jinhui Zhao
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Two-dimensional Schrödinger equation
Schrödinger type inequality
Boundary behavior
Singular solution
Online Access:http://link.springer.com/article/10.1186/s13661-018-0975-1

Internet

http://link.springer.com/article/10.1186/s13661-018-0975-1

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