[1] |
Li G B, Peng S J, Yan S S. Infinitely many positive solutions for the nonlinear Schrödinger-Poisson system. Communications in Contemporary Mathematics, 2010, 12(6): 1069-1092
doi: 10.1142/S0219199710004068
|
[2] |
Teng K M. Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical sobolev exponent. Journal of Differential Equations, 2016, 261(6): 3061-3106
doi: 10.1016/j.jde.2016.05.022
|
[3] |
Zeng X Y, Zhang L. Normalized solutions for Schrödinger-Poisson-Slater equations with unbounded potentials. Journal of Mathematical Analysis and Applications, 2017, 452(1): 47-61
doi: 10.1016/j.jmaa.2017.02.053
|
[4] |
Sánchez O, Soler J. Long-time dynamics of the Schrödinger-Poisson-Slater system. Journal of Statistical Physics, 2004, 114(1): 179-204
doi: 10.1023/B:JOSS.0000003109.97208.53
|
[5] |
Bellazzini J, Siciliano G. Scaling properties of functionals and existence of constrained minimizers. Journal of Functional Analysis, 2011, 261(9): 2486-2507
doi: 10.1016/j.jfa.2011.06.014
|
[6] |
Georgiev V, Prinari F, Visciglia N. On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Annales de l'nstitut Henri PoincaréC, 2012, 29(3): 369-376
|
[7] |
Bellazzini J, Siciliano G. Stable standing waves for a class of nonlinear Schrödinger-Poisson equations. Zeitschrift für angewandte Mathematik und Physik, 2011, 62(2): 267-280
doi: 10.1007/s00033-010-0092-1
|
[8] |
Jeanjean J, Luo T J. Sharp nonexistence results of prescribed $l_2$-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations. Zeitschrift für angewandte Mathematik und Physik, 2013, 64(4): 937-954
doi: 10.1007/s00033-012-0272-2
|
[9] |
Maeda M. On the symmetry of the ground states of nonlinear Schrödinger equation with potential. Advanced Nonlinear Studies, 2010, 10(4): 895-925
doi: 10.1515/ans-2010-0409
|
[10] |
Jeanjean L. Existence of solutions with prescribed norm for semilinear elliptic equations. Nonlinear Analysis: Theory, Methods & Applications, 1997, 28(10): 1633-1659
|
[11] |
Sánchez O, Soler J. Asymptotic decay estimates for the repulsive Schrödinger-Poisson system. Mathematical Methods in the Applied Sciences, 2004, 27(4): 371-380
doi: 10.1002/(ISSN)1099-1476
|
[12] |
Guo Y J, Seiringer R. On the mass concentration for bose-einstein condensates with attractive interactions. Letters in Mathematical Physics, 2014, 104(2): 141-156
doi: 10.1007/s11005-013-0667-9
|
[13] |
Guo Y J, Zeng X Y, Zhou H S. Energy estimates and symmetry breaking in attractive bose-einstein condensates with ring-shaped potentials. Annales de l'nstitut Henri Poincaré C, 2016, 33(3): 809-828
|
[14] |
Frank R L, Lenzmann E, Silvestre L. Uniqueness of radial solutions for the fractional laplacian. Communications on Pure and Applied Mathematics, 2016, 69(9): 1671-1726
doi: 10.1002/cpa.v69.9
|
[15] |
Felmer P, Quaas A, Tan J G. Positive solutions of the nonlinear Schrödinger equation with the fractional laplacian. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2012, 142(6): 1237-1262
|