| [1] |
Lions P L. The existence of solutions for nonlinear Schrödinger equations. Math Methods Appl Sci, 1984, 6(2): 153-184
|
| [2] |
Cazenave T. Semilinear Schrödinger Equations. Providence RI: American Mathematical Soc, 2003
|
| [3] |
Cazalilla M A. Quantum fluctuations and collective effects in nonlinear systems: A study of Schrödinger-Poisson systems. Phys Rev A, 2007, 76: Art 050503
|
| [4] |
Liu S, Mosconi S. On the Schrödinger-Poisson system withindefinite potential and 3-sublinearnonlinearity. J Differential Equations, 2020, 269(1): 689-712
doi: 10.1016/j.jde.2019.12.023
|
| [5] |
Alves C O, Souto M A S, Soares S H M. Schrödinger-Poisson equations without Ambrosetti-Rabinowitz condition. J Math Anal Appl, 2011, 377(2): 584-592
doi: 10.1016/j.jmaa.2010.11.031
|
| [6] |
Chen S, Tang C. High energy solutions for the superlinear Schrödinger-Maxwell equations. Nonlinear Anal, 2009, 71(10): 4927-4934
doi: 10.1016/j.na.2009.03.050
|
| [7] |
Wang Z, Zhou H. Sign-changing solutions for the nonlinear Schrödinger-Poisson system in $\mathbb{R}^3$. Calc Var Partial Differential Equations, 2015, 52: 927-943
doi: 10.1007/s00526-014-0738-5
|
| [8] |
Azzollini A, Pomponio A. Ground state solutions for the nonlinear Schrödinger-Maxwell equations. J Math Anal Appl, 2008, 345(1): 90-108
doi: 10.1016/j.jmaa.2008.03.057
|
| [9] |
Cerami G, Vaira G. Positive solutions for some non-autonomous Schrödinger-Poisson systems. J Differential Equations, 2010, 248(3): 521-543
doi: 10.1016/j.jde.2009.06.017
|
| [10] |
Wang Z, Zhou H. Positive solution for a nonlinear stationary Schrödinger-Poisson system in $\mathbb{R}^3$. Discrete Contin Dyn Syst, 2007, 18(4): 809-816
|
| [11] |
Liu S, Wu Y. Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials. Bull Lond Math Soc, 2017, 49(2): 226-234
doi: 10.1112/blms.12019
|
| [12] |
Ding L, Li L, Meng Y J, Zhuang C L. Existence and asymptotic behaviour of ground state solution for quasilinear Schrödinger-Poisson systems in $\mathbb{R}^3$. Topol Methods Nonlinear Anal, 2016, 47(1): 241-264
|
| [13] |
Sun J, Chen H, Nito J J. On ground state solutions for some non-autonomous Schrödinger-Poisson systems. J Differential Equations, 2012, 252(5): 3365-3380
doi: 10.1016/j.jde.2011.12.007
|
| [14] |
Figueiredo G M, Siciliano G. Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity. Z Angew Math Phys, 2020, 71: Art 130
|
| [15] |
Figueiredo G M, Siciliano G. Quasilinear Schrödinger-Poisson system under an exponential critical nonlinearity: Existence and asymptotic behaviour of solutions. Arch Math, 2019, 112(3): 313-327
doi: 10.1007/s00013-018-1287-5
|
| [16] |
Wei C, Li A, Zhao L. Existence and asymptotic behaviour of solutions for a quasilinear Schrödinger-Poisson system in $\mathbb{R}^3$. Qual Theory Dyn Syst, 2022, 21: Art 82
|
| [17] |
Jiang S, Liu S. Standing waves for 6-superlinear Chern-Simons-Schrödinger systems with indefinite potentials. Nonlinear Anal, 2023, 230: Art 113234
|
| [18] |
Bartsch T, Li S. Critical point theory for nonsmooth functionals and applications to problems with resonance. Nonlinear Anal, 1997, 28(3): 449-470
|
| [19] |
Benmih K, Kavian O. Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger-Poisson systems in $\mathbb{R}^3$. Ann Inst H Poincaré Anal Non Linéaire, 2008, 25(3): 449-470
doi: 10.4171/aihpc
|
| [20] |
Joao Marcos B O. Solutions to perturbed eigenvalue problems of the $p$-Laplacian in $\mathbb{R}^N$. Electron J Differential Equations, 1997, 1997(11): 1-15
|
| [21] |
Zhao L, Zhao F. On the existence of solutions for the Schrödinger-Poisson equations. J Math Anal Appl, 2008, 346(1): 155-169
doi: 10.1016/j.jmaa.2008.04.053
|
| [22] |
Zhao L, Zhao F. Positive solutions for Schrödinger-Poisson equations with a critical exponent. Nonlinear Anal, 2009, 70(6): 2150-2164
doi: 10.1016/j.na.2008.02.116
|
| [23] |
Liu J. The Morse index of a saddle point. Systems Sci Math Sci, 1989, 2(1): 32-39
|