Spikes in two coupled nonlinear Schrödinger equations
Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 4, pp. 403-439. 
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     author = {Lin, Tai-Chia and Wei, Juncheng},
     title = {Spikes in two coupled nonlinear {Schr\"odinger} equations},
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Lin, Tai-Chia; Wei, Juncheng. Spikes in two coupled nonlinear Schrödinger equations. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 4, pp. 403-439. doi : 10.1016/j.anihpc.2004.03.004. https://www.numdam.org/articles/10.1016/j.anihpc.2004.03.004/

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  • Fang, Guo-bei; Lü, Zhong-xue Existence and uniqueness of positive solutions to three coupled nonlinear Schrödinger equations, Acta Mathematicae Applicatae Sinica, English Series, Volume 31 (2015) no. 4, p. 1021 | DOI:10.1007/s10255-015-0524-y
  • Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-qiang Multiple mixed states of nodal solutions for nonlinear Schrödinger systems, Calculus of Variations and Partial Differential Equations, Volume 52 (2015) no. 3-4, p. 565 | DOI:10.1007/s00526-014-0724-y
  • Soave, Nicola On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition, Calculus of Variations and Partial Differential Equations, Volume 53 (2015) no. 3-4, p. 689 | DOI:10.1007/s00526-014-0764-3
  • Sato, Yohei; Wang, Zhi-Qiang Multiple positive solutions for Schrödinger systems with mixed couplings, Calculus of Variations and Partial Differential Equations, Volume 54 (2015) no. 2, p. 1373 | DOI:10.1007/s00526-015-0828-z
  • Byeon, Jaeyoung Semi-classical standing waves for nonlinear Schrödinger systems, Calculus of Variations and Partial Differential Equations, Volume 54 (2015) no. 2, p. 2287 | DOI:10.1007/s00526-015-0866-6
  • Sato, Yohei; Wang, Zhi-Qiang On the least energy sign-changing solutions for a nonlinear elliptic system, Discrete Continuous Dynamical Systems - A, Volume 35 (2015) no. 5, p. 2151 | DOI:10.3934/dcds.2015.35.2151
  • Pi, Huirong; Peng, Shuangjie Spike vector solutions for some coupled nonlinear Schrödinger equations, Discrete and Continuous Dynamical Systems, Volume 36 (2015) no. 4, p. 2205 | DOI:10.3934/dcds.2016.36.2205
  • Peng, Yanfang On elliptic systems with Sobolev critical exponent, Discrete and Continuous Dynamical Systems, Volume 36 (2015) no. 6, p. 3357 | DOI:10.3934/dcds.2016.36.3357
  • Yue, Xiaorui Positive ground state solutions and multiple nontrivial solutions for coupled critical elliptic systems, Journal of Mathematical Analysis and Applications, Volume 427 (2015) no. 1, p. 88 | DOI:10.1016/j.jmaa.2015.01.073
  • Liu, Weiming Multi-peak solutions for nonlinear Schrödinger systems with magnetic potentials inR3, Journal of Mathematical Analysis and Applications, Volume 431 (2015) no. 2, p. 1054 | DOI:10.1016/j.jmaa.2015.06.013
  • Zhuo, Ran; Li, FengQuan Liouville type theorems for Schrödinger systems, Science China Mathematics, Volume 58 (2015) no. 1, p. 179 | DOI:10.1007/s11425-014-4925-9
  • Yue, Xiaorui; Zou, Wenming A perturbation method for k-mixtures of Bose–Einstein condensates, Zeitschrift für angewandte Mathematik und Physik, Volume 66 (2015) no. 3, p. 1023 | DOI:10.1007/s00033-014-0468-8
  • Tang, Zhongwei Segregated peak solutions of coupled Schrödinger systems with Neumann boundary conditions, Discrete Continuous Dynamical Systems - A, Volume 34 (2014) no. 12, p. 5299 | DOI:10.3934/dcds.2014.34.5299
  • Long, Wei; Peng, Shuangjie Segregated vector solutions for a class of Bose–Einstein systems, Journal of Differential Equations, Volume 257 (2014) no. 1, p. 207 | DOI:10.1016/j.jde.2014.03.019
  • Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming Monotonicity and nonexistence results to cooperative systems in the half space, Journal of Functional Analysis, Volume 266 (2014) no. 2, p. 1088 | DOI:10.1016/j.jfa.2013.08.021
  • Tang, Zhongwei Multi-peak solutions to coupled Schrödinger systems with Neumann boundary conditions, Journal of Mathematical Analysis and Applications, Volume 409 (2014) no. 2, p. 684 | DOI:10.1016/j.jmaa.2013.07.053
  • Ye, Hongyu; Peng, Yanfang Positive least energy solutions for a coupled Schrödinger system with critical exponent, Journal of Mathematical Analysis and Applications, Volume 417 (2014) no. 1, p. 308 | DOI:10.1016/j.jmaa.2014.03.028
  • Yin, Hui; Lü, Zhongxue Positive solutions to integral systems with weight and Bessel potentials, Journal of Mathematical Analysis and Applications, Volume 418 (2014) no. 1, p. 264 | DOI:10.1016/j.jmaa.2014.03.076
  • Yang, Minbo; Wei, Yuanhong; Ding, Yanheng Existence of semiclassical states for a coupled Schrödinger system with potentials and nonlocal nonlinearities, Zeitschrift für angewandte Mathematik und Physik, Volume 65 (2014) no. 1, p. 41 | DOI:10.1007/s00033-013-0317-1
  • Sato, Yohei; Wang, Zhi-Qiang On the multiple existence of semi-positive solutions for a nonlinear Schrödinger system, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 30 (2013) no. 1, p. 1 | DOI:10.1016/j.anihpc.2012.05.002
  • Peng, Shuangjie; Wang, Zhi-qiang Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems, Archive for Rational Mechanics and Analysis, Volume 208 (2013) no. 1, p. 305 | DOI:10.1007/s00205-012-0598-0
  • Zhu, Shiren; Chen, Xiaoli; Yang, Jianfu Regularity, symmetry and uniqueness of positive solutions to a nonlinear elliptic system, Communications on Pure Applied Analysis, Volume 12 (2013) no. 6, p. 2685 | DOI:10.3934/cpaa.2013.12.2685
  • Lei, Yutian Positive solutions of integral systems involving Bessel potentials, Communications on Pure Applied Analysis, Volume 12 (2013) no. 6, p. 2721 | DOI:10.3934/cpaa.2013.12.2721
  • Tian, Rushun; Wang, Zhi-Qiang Bifurcation results on positive solutions of an indefinite nonlinear elliptic system, Discrete Continuous Dynamical Systems - A, Volume 33 (2013) no. 1, p. 335 | DOI:10.3934/dcds.2013.33.335
  • Lin, Tai-Chia; Wu, Tsung-Fang Existence and multiplicity of positive solutions for two coupled nonlinear Schrödinger equations, Discrete Continuous Dynamical Systems - A, Volume 33 (2013) no. 7, p. 2911 | DOI:10.3934/dcds.2013.33.2911
  • Wang, Weichung; Wu, Tsung-Fang; Liu, Chien-Hsiang On the multiple spike solutions for singularly perturbed elliptic systems, Discrete Continuous Dynamical Systems - B, Volume 18 (2013) no. 1, p. 237 | DOI:10.3934/dcdsb.2013.18.237
  • Chen, Zhijie; Lin, Chang-Shou; Zou, Wenming Multiple sign-changing and semi-nodal solutions for coupled Schrödinger equations, Journal of Differential Equations, Volume 255 (2013) no. 11, p. 4289 | DOI:10.1016/j.jde.2013.08.009
  • Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie Global existence for a coupled system of Schrödinger equations with power-type nonlinearities, Journal of Mathematical Physics, Volume 54 (2013) no. 1 | DOI:10.1063/1.4774149
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  • Ikoma, Norihisa; Tanaka, Kazunaga A local mountain pass type result for a system of nonlinear Schrödinger equations, Calculus of Variations and Partial Differential Equations, Volume 40 (2011) no. 3-4, p. 449 | DOI:10.1007/s00526-010-0347-x
  • Liu, Zuhan The spatial behavior of rotating two-component Bose–Einstein condensates, Journal of Functional Analysis, Volume 261 (2011) no. 6, p. 1711 | DOI:10.1016/j.jfa.2011.05.017
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  • Ma, Li; Schulze, B.-W. Blow-up Theory for the Coupled L 2-Critical Nonlinear Schrödinger System in the Plane, Milan Journal of Mathematics, Volume 78 (2010) no. 2, p. 591 | DOI:10.1007/s00032-010-0131-6
  • Chen, Wenxiong; Li, Congming Classification of positive solutions for nonlinear differential and integral systems with critical exponents, Acta Mathematica Scientia, Volume 29 (2009) no. 4, p. 949 | DOI:10.1016/s0252-9602(09)60079-5
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  • Wei, Gongming Existence and concentration of ground states of coupled nonlinear Schrödinger equations with bounded potentials, Chinese Annals of Mathematics, Series B, Volume 29 (2008) no. 3, p. 247 | DOI:10.1007/s11401-007-0104-4
  • Liu, Zhaoli; Wang, Zhi-Qiang Multiple Bound States of Nonlinear Schrödinger Systems, Communications in Mathematical Physics, Volume 282 (2008) no. 3, p. 721 | DOI:10.1007/s00220-008-0546-x
  • Liu, Zuhan Two-component Bose–Einstein condensates, Journal of Mathematical Analysis and Applications, Volume 348 (2008) no. 1, p. 274 | DOI:10.1016/j.jmaa.2008.07.033
  • Ma, Li; Zhao, Lin Sharp thresholds of blow-up and global existence for the coupled nonlinear Schrödinger system, Journal of Mathematical Physics, Volume 49 (2008) no. 6 | DOI:10.1063/1.2939238
  • Wei, Juncheng; Weth, Tobias Asymptotic behaviour of solutions of planar elliptic systems with strong competition, Nonlinearity, Volume 21 (2008) no. 2, p. 305 | DOI:10.1088/0951-7715/21/2/006
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  • Lin, Tai-Chia; Wei, Juncheng Ground State of N Coupled Nonlinear Schrodinger Equations in ${\mathbb{R}}^n, n \leq 3$, Communications in Mathematical Physics, Volume 277 (2007) no. 2, p. 573 | DOI:10.1007/s00220-007-0365-5
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