[1] Ambrosetti A, Colorado E.Standing waves of some coupled nonlinear Schrödinger equations. J Lond Math Soc, 2007, 75(1): 67-82
[2] Badiale M, Serra E.Semilinear Elliptic Equations for Beginners. Existence Results Via the Variational Approach. London: Springer, 2011
[3] Bartsch T, Pankov A, Wang Z-Q.Nonlinear Schrödinger equations with steep potential well. Commun Contemp Math, 2001, 3(4): 549-569
[4] Bartsch T, Soave N.A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems. J Funct Anal, 2017, 272(12): 4998-5037
[5] Bartsch T, Soave N.Multiple normalized solutions for a competing system of Schrödinger equations. Calc Var Partial Differential Equations, 2019, 58(1): 22
[6] Bartsch T, Tang Z.Multibump solutions of nonlinear Schrödinger equations with steep potential well and indefinite potential. Discrete Contin Dyn Syst, 2013, 33(1): 7-26
[7] Bartsch T, Wang Z-Q.Existence and multiplicity results for superlinear elliptic problems on RN. Comm Partial Differential Equations, 1995, 20(9/10): 1725-1741
[8] Bradley C C, Sackett C A, Tollett J J, et al.Evidence of Bose-Einstein condensation in an atomic gas with attractive interactions. Phys Rev Lett, 1995, 75: 1687-1690
[9] Bradley C C, Sackett C A, Hulet R G.Bose-Einstein condensation of Lithium: Observation of limited condensate number. Phys Rev Lett, 1997, 78: 985-989
[10] Caffarelli L, Kohn R, Nirenberg L.First order interpolation inequalities with weights. Compositio Math, 1984, 53(3): 259-275
[11] Cao P, Wang J, Zou W.On the standing waves for nonlinear Hartree equation with confining potential. J Math Phys, 2012, 53(3): 033702
[12] Chaudhary G K, Ramakumar R.Collapse dynamics of a 176Yb-174Yb Bose-Einstein condensate. Phys Rev A, 2010, 81: 063603
[13] Chen Z, Zou W.Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent. Arch Ration Mech Anal, 2012, 205(2): 515-551
[14] Dancer E N, Wei J.Spike solutions in coupled nonlinear Schrödinger equations with attractive interaction. Trans Amer Math Soc, 2009, 361(3): 1189-1208
[15] Evans L C. Partial Differential Equations.2nd ed. Graduate Studies in Mathematics, 19. Providence, RI: American Mathematical Society, 2010
[16] Feng B, Zhao D, Sun C.Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces. Acta Mathematica Scientia, 2015, 35B(3): 567-582
[17] Guo Y, Li S,Wei J, et al.Ground states of two-component attractive Bose-Einstein condensates I: Existence and uniqueness. J Funct Anal, 2019, 276(1): 183-230
[18] Guo Y, Li S, Wei J, et al.Ground states of two-component attractive Bose-Einstein condensates II: Semitrivial limit behavior. Trans Amer Math Soc, 2019, 371(10): 6903-6948
[19] Guo Y, Luo Y, Wang Z-Q.Limit behavior of mass critical Hartree minimization problems with steep potential wells. J Math Phys, 2018, 59(6): 061504
[20] Guo Y, Lu L.Mean-field limit of Bose-Einstein condensates with attractive interactions in R2. Acta Mathematica Scientia, 2016, 36B(2): 317-324
[21] Guo Y, Seiringer R.On the mass concentration for Bose-Einstein condensates with attractive interactions. Lett Math Phys, 2014, 104(2): 141-156
[22] Guo Y, Wang Z-Q, Zeng X, et al.Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentials. Nonlinearity, 2018, 31(3): 957-979
[23] Han Q, Lin F.Elliptic Partial Differential Equations. 2nd ed. Courant Lecture Notes in Mathematics, 1. Courant Institute of Mathematical Sciences, New York: American Mathematical Society, 2011
[24] Jiang Y, Zhou H-S.Schrödinger-Poisson system with steep potential well. J Differential Equations, 2011, 251(3): 582-608
[25] Kwong M K.Uniqueness of positive solutions of $\Delta u-u+u^{p} \text { in } \mathbb{R}^{n}$. Arch Rat Mech Anal, 1989, 105(3): 243-266
[26] Letelier J R.Segregation and symmetry breaking of strongly coupled two-component Bose-Einstein condensates in a harmonic trap. Calc Var Partial Differential Equations, 2014, 49(1/2): 103-124
[27] Li Y-Y, Li G-D, Tang C-L.Existence and concentration of ground state solutions for Choquard equations involving critical growth and steep potential well. Nonlinear Anal, 2020, 200: 111997
[28] Lin F, Lin, T-C, Wei J. Skyrmions in Gross-Pitaevskii functionals. Acta Mathematica Scientia, 2009, 29B(3): 751-776
[29] Lin T-C, Wei J.Spikes in two coupled nonlinear Schrödinger equations. Ann Inst H Poincaré Anal Non Linéaire, 2005, 22(4): 403-439
[30] Lin T-C, Wei J.Spikes in two-component systems of nonlinear Schrödinger equations with trapping potentials. J Differential Equations, 2006, 229(2): 538-569
[31] Peng S, Pi H.Spike vector solutions for some coupled nonlinear Schrödinger equations. Discrete Contin Dyn Syst, 2016, 36(4): 2205-2227
[32] Peng S, Wang Z-Q.Segregated and synchronized vector solutions for nonlinear Schrödinger systems. Arch Ration Mech Anal, 2013, 208(1): 305-339
[33] Sirakov B.Least energy solitary waves for a system of nonlinear Schrödinger equations in Rn. Comm Math Phys, 2007, 271(1): 199-221
[34] Struwe M.Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. 4th ed. Berlin: Springer-Verlag, 2008
[35] Stuart C A, Zhou H-S.Global branch of solutions for non-linear Schrödinger equations with deepening potential well. Proc Lond Math Soc, 2006, 92(3): 655-681
[36] Sun J, Wu T-F.Ground state solutions for an indefinite Kirchhoff type problem with steep potential well. J Differential Equations, 2014, 256(4): 1771-1792
[37] Wang C, Xie D, Zhan L, et al.Segregated vector solutions for nonlinear Schrödinger systems in R2. Acta Mathematica Scientia, 2015, 35B(2): 383-398
[38] Wang Z, Zhou H-S.Positive solutions for nonlinear Schrödinger equations with deepening potential well. J Eur Math Soc, 2009, 11(3): 545-573
[39] Wei J, Weth T.Radial solutions and phase separation in a system of two coupled Schrödinger equations. Arch Ration Mech Anal, 2008, 190(1): 83-106
[40] Wei J, Yao W.Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations. Commun Pure Appl Anal, 2012, 11(3): 1003-1011
[41] Willem M. Minimax Theorems, Progress in Nonlinear Differential Equations and Their Applications Vol 24. Boston: Birkhäuser, 1996
[42] Wu Y, Wu T-F, Zou W.On a two-component Bose-Einstein condensate with steep potential wells. Annali di Matematica, 2017, 196(5): 1695-1737
[43] Zhang J, Lou Z.Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth. J Math Phys, 2021, 62(1): 011506
[44] Zhao L, Liu H, Zhao F.Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential. J Differential Equations, 2013, 255(1): 1-23
[45] Zhou L, Wang Z-Q.Uniqueness of positive solutions to some Schrödinger systems. Nonlinear Anal, 2020, 195: 111750