On linearly coupled Schrödinger systems
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- by Zhijie Chen and Wenming Zou PDF
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Abstract:
We study the following system of nonlinear Schrödinger equations: \[ \begin {cases} -\Delta u +u = f(u)+\lambda v, & x\in \mathbb {R}^N,\\ -\Delta v +v = g(v)+\lambda u, & x\in \mathbb {R}^N. \end {cases} \] Under almost optimal assumptions on $f$ and $g$, for small $\lambda >0$, we obtain positive radial solutions and study their asymptotic behaviors as $\lambda \to 0$.References
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Additional Information
- Zhijie Chen
- Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
- Email: chenzhijie1987@sina.com
- Wenming Zou
- Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
- MR Author ID: 366305
- Email: wzou@math.tsinghua.edu.cn
- Received by editor(s): March 13, 2012
- Published electronically: October 8, 2013
- Additional Notes: This work was supported by NSFC (11025106, 11271386, 10871109)
- Communicated by: Chuu-Lian Terng
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 142 (2014), 323-333
- MSC (2010): Primary 35B40, 35B45
- DOI: https://doi.org/10.1090/S0002-9939-2013-12000-9
- MathSciNet review: 3119206