| [1] |
Ambrosetti A, Cerami G, Ruiz D. Solitons of linearly coupled systems of semilinear non-autonomous equations on $\mathbb{R}^{N}$. J Funct Anal, 2008, 254(11):2816-2845
|
| [2] |
Bieganowski B. Systems of coupled Schrödinger equations with sign-changing nonlinearities via classical Nehari manifold approach. Complex Var Elliptic Equ, 2019, 64(7):1237-1256
|
| [3] |
Brezis H. Functional Analysis, Sobolev Spaces and Partial Differential Equations. New York:Springer, 2011
|
| [4] |
Che G F, Chen H B. Ground state solutions for a class of semilinear elliptic systems with Sum of periodic and vanishing potentials. Topol Methods Nonlinear Anal, 2018, 51(1):215-242
|
| [5] |
Furtado M F, Silva E A, Xavier M S. Multiplicity and concentration of solutions for elliptic systems with vanishing potentials. J Differ Equ, 2010, 249(10):2377-2396
|
| [6] |
Hioe F T. Solitary waves for two and three coupled nonlinear Schrödinger equations. Phys Rev E, 1998, 58(5):6700-6707
|
| [7] |
Hioe F T. Solitary waves for n coupled nonlinear Schrödinger equations. Phys Rev Lett, 1999, 82(6):1152-1155
|
| [8] |
Long J, Yang J. Positive solutions for weakly coupled nonlinear elliptic systems. Acta Math Sci, 2010, 30B(5):1577-1592
|
| [9] |
Liu H, Liu Z. Positive solutions of a nonlinear Schrödinger system with nonconstant potentials. Discret Contin Dyn Syst, 2016, 36(3):1431-1464
|
| [10] |
Lions P L. The concentration-compactness principle in the calculus of variations, the locally compact case, Part I and Ⅱ. Ann Inst Henri Poincare-Anal Non Lineaire, 1984, 1(2):109-145; 1(4):223-283
|
| [11] |
Maia L A, Montefusco E, Pellacci B. Positive solutions for a weakly coupled nonlinear Schrödinger system. J Differ Equ, 2006, 229(2):743-767
|
| [12] |
Mederski J. Ground states of a system of nonlinear Schrödinger equations with periodic potentials. Commun Partial Differ Equ, 2016, 41(9):1426-1440
|
| [13] |
Pomponio A, Secchi S. A note on coupled nonlinear schrödinger systems under the effect of general nonlinearities. Commun Pure Appl Anal, 2010, 9(3):741-750
|
| [14] |
Pankov A. Periodic nonlinear Schrödinger equation with application to photonic crystals. Milan J Math, 2005, 73(1):259-287
|
| [15] |
Struwe M. Variational Methods. Berlin:Springer, 2008
|
| [16] |
Szulkin A, Weth T. Ground state solutions for some indefinite variational problems. J Funct Anal, 2009, 257(12):3802-3822
|
| [17] |
Szulkin A, Weth T. The method of Nehari manifold//Handbook of Nonconvex Analysis and Applications. International Press, 2010:597-632
|
| [18] |
Timmermans E. Phase separation of Bose-Einstein condensates. Phys Rev Lett, 1998, 81(26):5718-5721
|
| [19] |
Wei G M, Duan X L. On existence of ground states of nonlinear fractional Schrödinger systems with close-to-periodic potentials. Rocky Mt J Math, 2018, 48(5):1647-1683
|
| [20] |
Wang J, Dong Y, He Q, Xiao L. Multiple positive solutions for a coupled nonlinear Hartree type equations with perturbations. J Math Anal Appl, 2017, 450(1):780-794
|
| [21] |
Willem M. Minimax Theorems. Boston:Birkhäuser, 1996
|
| [22] |
Zhang H, Xu J X, Zhang F B. Positive ground states of coupled nonlinear Schrödinger equations on $\mathbb{R}^{N}$ (in Chinese). Sci Sin Math, 2013, 43(1):33-43
|