参考文献/References:
[1] Akhmediev N,Ankiewicz A.Novel soliton states and bifurcation phenomena in nonlinear fiber couplers [J].Phys Rev Lett,1993,70(16):2395-2398.
[2] Berestycki H,Lions P L.Nonlinear scalar field equations I:Existence of a ground State [J].Arch Rational Mech Anal,1983,82(4):313-345.
[3] Ambrosetti A,Colorado E,Ruiz D.Multi-bump solitons to linearly coupled systems of nonlinear Schrödinger equations [J].Calc Var Partial Differential Equations,2007,30(1):85-112.
[4] Bahri A,Li Yanyan.On a min-max procedure for the existence of a positive solution for certain scalar field equations in RN [J].Rev Mat Iberoamericana,1990,6(1/2):1-15.
[5] Bahri A,Lions P L.On the existence of a positive solution of semilinear elliptic equations in unbounded domains [J].Ann Inst H Poincaré Anal Non Linéaire,1997,14(3):365-413.
[6] Cerami G.Some nonlinear elliptic problems in unbounded domains [J].Milan J Math,2006,74(1):47-77.
[7] Rabinowitz P H.On a class of nonlinear Schrödinger equations [J].Zeit Angew Math Phys,1992,43(2):270-291.
[8] Ambrosetti A.Remarks on some systems of nonlinear Schrödinger equations [J].J Fixed Point Theory Appl,2008,4(1):35-46.
[9] Ambrosetti A,Cerami G,Ruiz D.Solitons of linearly coupled systems of semilinear non-autonomous equations on RN [J].J Funct Anal,2008,254(11):2816-2845.
[10] Byeon J,Jeanjean L,Maris M.Symmetry and monotonicity of least energy solutions [J].Calc Var Partial Differential Equations,2009,36(4):481-492.
[11] Chen Zhijie,Zou Wenming.On coupled systems of Schrödinger equation [J].Adv Differential Equations,2011,16(7/8):775-800.
[12] 邹文明.变分方法及其在非线性偏微分方程应用方面的进展和未决问题 [J].江西师范大学学报:自然科学版,2018,42(2):111-129.
[13] Jeanjean L,Tanaka K.A remark on least energy solutions in RN [J].Proc Amer Math Soc,2003,131(8):2399-2408.
[14] Gilbarg D,Trudinger N S.Elliptic partial di_erential equations of second order [M].2nd ed.Berlin:Grundlehren der Mathematischen Wissenschaften,Fundamental Principles of Mathematical Sciences,Springer-Verlag,1983.
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