Guoqing Zhang, Weiguo Zhang, Sanyang Liu
Abstract:
Based on the concentration compactness principle, we shoe the
existence of ground state solitary wave solutions for one-dimensional
Schrodinger-Poisson systems with large L2-norm in the energy space.
We also obtain orbital stability for ground state solitary waves.
Submitted November 9, 2015. Published February 29, 2016.
Math Subject Classifications: 35J50, 35Q55, 37K45.
Key Words: Solitary waves; orbital stability; Schrodinger-Poisson system.
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Guoqing Zhang College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: shzhangguoqing@126.com |
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Weiguo Zhang College of Sciences University of Shanghai for Science and Technology Shanghai 200093, China email: zwgzwm@126.com |
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Sanyang Liu College of Mathematics and Statistics Xidian University Xi'an 710071 Shanxi, China email: liusanyang@126.com |
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