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arXiv · 1604.08298

Ground and bound state solutions for a Schr\"odinger system with linear and nonlinear couplings in $\mathbb{R}^N$

Kanishka Perera·Cyril Tintarev·Jun Wang·Zhitao Zhang
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Abstract

We study the existence of ground and bound state solutions for a system of coupled Schr\"odinger 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.

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Kanishka Perera, Cyril Tintarev, Jun Wang, Zhitao Zhang. 2016-04-28. Ground and bound state solutions for a Schr\"odinger system with linear and nonlinear couplings in $\mathbb{R}^N$. https://arxiv.org/abs/1604.08298

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