Semiclassical states for weakly coupled nonlinear Schrödinger systems
By Eugenio Montefusco, Benedetta Pellacci, Marco Squassina. 2008
142 citations recorded by the source corpus.
We consider systems of weakly coupled Schrodinger equations with nonconstant potentials and we investigate the existence of nontrivial nonnegative solutions which concentrate around local minima of the potentials. We obtain sufficient and necessary conditions for a sequence of least energy solutions to concentrate.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b3e8e472aa5dd5a2058d63e53e35f62a5100b1f4
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In Applied Mathematics
- Zhi-Qiang Wang
- Zhaoli Liu
- Shuangjie Peng
- Xianhua Tang
- Nikolaos S. Papageorgiou
- Thomas Bartsch
- G. Lu
- Nguyen Huong Lam
In Mathematical Physics
- Zhaoli Liu
- Zhi-Qiang Wang
- Shuangjie Peng
- Thomas Bartsch
- Jiaquan Liu
- Xiangqing Liu
- Louis Jeanjean
- Jaeyoung Byeon
Citations in the corpus
- Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2013, background): “Systems of nonlinear Schrödinger equations have been the subject of extensive mathematical studies in recent years, for example, [2–6,8–10,14,15,17,18,20,21, 24,25,29,30,34] and references therein.”
- Ground States and Bound States of a Nonlinear Schrödinger System (2010, background): “For examples, following the work [16] by Lin and Wei about the existence of ground state solutions with small couplings for a general N -system, a number of papers have been devoted to the existence theory of solutions for the 2-system in various different parameter regimes of nonlinear couplings; s”