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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 590653, 7 pages
Energy Solution to the Chern-Simons-Schrödinger Equations
Department of Mathematics, Chung-Ang University, Seoul 156-756, Republic of Korea
Received 19 November 2012; Accepted 17 January 2013
Academic Editor: Graziano Crasta
Copyright © 2013 Hyungjin Huh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citations to this Article [8 citations]
The following is the list of published articles that have cited the current article.
- Jongmin Han, Hyungjin Huh, and Jinmyoung Seok, “Chern–Simons limit of the standing wave solutions for the Schrödinger equations coupled with a neutral scalar field,” Journal of Functional Analysis, 2013.
- Hyungjin Huh, “Reduction of Chern-Simons-Schrödinger Systems in One Space Dimension,” Journal of Applied Mathematics, vol. 2013, pp. 1–4, 2013.
- Xuwen Chen, and Paul Smith, “On the unconditional uniqueness of solutions to the infinite radial Chern–Simons–Schrödinger hierarchy,” Analysis & PDE, vol. 7, no. 7, pp. 1683–1712, 2014.
- Jianjun Yuan, “Multiple normalized solutions of Chern–Simons–Schrödinger system,” Nonlinear Differential Equations and Applications NoDEA, 2015.
- Alessio Pomponio, and David Ruiz, “Boundary concentration of a Gauged nonlinear Schrodinger equation on large balls,” Calculus Of Variations And Partial Differential Equations, vol. 53, no. 1-2, pp. 289–316, 2015.
- Sung-Jin Oh, and Fabio Pusateri, “Decay and Scattering for the Chern-Simons-Schrodinger Equations,” International Mathematics Research Notices, no. 24, pp. 13122–13147, 2015.
- Xianhua Tang, Jian Zhang, and Wen Zhang, “Existence and Concentration of Solutions for the Chern–Simons–Schrödinger System with General Nonlinearity,” Results in Mathematics, 2016.
- Jaeyoung Byeon, Hyungjin Huh, and Jinmyoung Seok, “On standing waves with a vortex point of order N for the nonlinear Chern–Simons–Schrödinger equations,” Journal of Differential Equations, 2016.