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July/August 2018 Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $\mathbb{R}^N$
Kanishka Perera, Cyril Tintarev, Jun Wang, Zhitao Zhang
Adv. Differential Equations 23(7/8): 615-648 (July/August 2018).

Abstract

We study the existence of ground and bound state solutions for a system of coupled Schrödinger equations with linear and nonlinear couplings in $\mathbb{R}^N$. By studying the limit system and using concentration compactness arguments, we prove the existence of ground and bound state solutions under suitable assumptions. Our results are new even for the limit system.

Citation

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Kanishka Perera. Cyril Tintarev. Jun Wang. Zhitao Zhang. "Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in $\mathbb{R}^N$." Adv. Differential Equations 23 (7/8) 615 - 648, July/August 2018.

Information

Published: July/August 2018
First available in Project Euclid: 11 May 2018

zbMATH: 06889039
MathSciNet: MR3801833

Subjects:
Primary: 35J20, 35J61, 35Q55, 35Q60, 49J40

Rights: Copyright © 2018 Khayyam Publishing, Inc.

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Vol.23 • No. 7/8 • July/August 2018
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