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coupled schrödinger system

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

On the classification of standing wave solutions to a coupled Schrödinger system
Part of
- Elliptic equations and systems
- Partial differential equations
Zhi-You Chen, Yu-Jen Huang, Yong-Li Tang
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 149 / Issue 5 / October 2019

Published online by Cambridge University Press:

17 January 2019, pp. 1347-1370

Print publication:

October 2019
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In this paper, we consider a nonlinear elliptic system which is an extension of the single equation derived by investigating the stationary states of the nonlinear Schrödinger equation. We establish the existence and uniqueness of solutions to the Dirichlet problem on the ball and entire space as the parameters within certain regions. In addition, a complete structure of different types of solutions for the radial case is also provided.