caa a22 4500 606193863 CHVBK 20210128100911.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s00030-015-0344-z doi (NATIONALLICENCE)springer-10.1007/s00030-015-0344-z Yuan Jianjun The College of Information and Technology, Nanjing University of Chinese Medicine, 210046, Nanjing, China aut Multiple normalized solutions of Chern-Simons-Schrödinger system [Elektronische Daten] [Jianjun Yuan] In this paper, we consider the following equation $$-\Delta u + \omega u + \left(\int_{|x|}^{\infty}\frac{h(s)}{s}u^2(s)ds\right) u + \frac{h^2(|x|)}{|x|^2}u - \lambda|u|^{p - 2}u = 0\quad \mbox{in}\quad \mathbb{R}^2,$$ - Δ u + ω u + ∫ | x | ∞ h ( s ) s u 2 ( s ) d s u + h 2 ( | x | ) | x | 2 u - λ | u | p - 2 u = 0 in R 2 , for p > 2 and $${\lambda > 0}$$ λ > 0 , which appeared in Byeon etal. (J Funct Anal 263(6):1575-1608, 2012) to find the standing wave solutions of the Chern-Simons-Schrödinger system. By using the minimax theorem, we get the multiplicity results for the L 2-normalized solutions to the equation, and thus there are multiple L 2-normalized solutions of the Chern-Simons-Schrödinger system. Springer Basel, 2015 Palais-Smale sequence nationallicence Euler-Lagrange equation nationallicence Pohozaev identity nationallicence Standing wave nationallicence Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1801-1816 1021-9722 22:6<1801 2015 22 30 https://doi.org/10.1007/s00030-015-0344-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-015-0344-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yuan Jianjun The College of Information and Technology, Nanjing University of Chinese Medicine, 210046, Nanjing, China aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/6(2015-12-01), 1801-1816 1021-9722 22:6<1801 2015 22 30