| [1] |
Chen G, Ma S.Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0. Anal Math Phys, 2024, 14 (4): Art 78
|
| [2] |
del Pino M, Felmer P L. Local mountain passes for semilinear elliptic problems in unbounded domains. Calc Var Partial Differential Equations, 1996, 4 (2): 121-137
doi: 10.1007/BF01189950
|
| [3] |
del Pino M, Felmer P L. Semi-classical states for nonlinear Schrödinger equations. J Funct Anal, 1997, 149 : 245-265
doi: 10.1006/jfan.1996.3085
|
| [4] |
Gilbarg D, Trudinger N S. Elliptic Partial Differential Equations of Second Order. Berlin: Springer, 1997
|
| [5] |
Han Q, Lin F. Elliptic Partial Differential Equations. New York: Amer Math Soc, 2011
|
| [6] |
Lehrer R, Soares S. Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations. Nonlinear Anal, 2020, 197 : Art 111841
|
| [7] |
Lin T BelićM, PetrovićM, et al. Ground-state counterpropogating solitons in photorefractive media with saturable nonlinearity. JOSAB, 2013, 30 : 1036-1040
doi: 10.1364/JOSAB.30.001036
|
| [8] |
Lin T, Wang X, Wang Z. Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in $\mathbb{R}^2$. J Differential Equations, 2017, 263 : 4750-4786
doi: 10.1016/j.jde.2017.05.030
|
| [9] |
Lin T, Wu T. Multiple positive solutions of saturable nonlinear Schrödinger equations with intensity functions. Discrete and Continuous Dynamical Systems, 2020, 40 : 2165-2187
doi: 10.3934/dcds.2020110
|
| [10] |
Long W, Lu S. Existence and concentration of normalized solutions to saturable Schrödinger equations. Submitted to Journal of Mathematical Physics
|
| [11] |
Maia L A, Montefusco E, Pellacci B. Weakly coupled nonlinear Schrödinger systems: the saturation effect. Calc Var Partial Differential Equations, 2013, 46 : 325-351
doi: 10.1007/s00526-011-0484-x
|
| [12] |
Maia L A, Montefusco E, Pellacci B. Singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities. Nonlinear Anal, 2015, 116 : 193-209
doi: 10.1016/j.na.2014.09.030
|
| [13] |
Maia L A, Ruviaro R. Sign-changing solutions for a Schrödinger equation with saturable nonlinearity. Milan J Math, 2011, 79 (1): 259-271
doi: 10.1007/s00032-011-0145-8
|
| [14] |
Maia L A, Ruviaro R. Positive and nodal solutions of nonlinear Schrödinger equations in a saturable medium. Adv Nonlinear Stud, 2015, 15 : 191-219
doi: 10.1515/ans-2015-0111
|
| [15] |
Pankov A, Rothos V. Periodic and decaying solutions in discrete nonlinear Schrödinger with saturable nonlinearity. Math Phys Eng Sci, 2008, 464 (2100): 3219-3236
|
| [16] |
Wang X, Lin T, Wang Z. Existence and concentration of ground states for saturable nonlinear Schrödinger equations with intensity functions in $\mathbb{R}^2$. Nonlinear Anal, 2018, 173 : 19-36
doi: 10.1016/j.na.2018.03.005
|
| [17] |
Wang X, Wang Z, Zhang X. Localization of normalized solutions for saturable nonlinear Schrödinger equations. Sci China Math, 2023, 66 : 2495-2522
doi: 10.1007/s11425-022-2052-1
|
| [18] |
Willem M. Minimax Theorems. Boston: Birkhäuser, 1996
|
| [19] |
Zhang L, Ma S. Ground state solutions for periodic discrete nonlinear Schrödinger equations with saturable nonlinearities. Adv Diffierence Equ, 2018, 2018 (1): 1-13
|
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