[1] |
BokanowskiO, LópezJL, SolerJ. On an exchange interaction model for quantum transport: The Schrödinger-Poisson-Slater system. Math Models Methods Appl Sci. 2003;13:1397‐1412. · Zbl 1073.35188 |
[2] |
LiebEH, SimonB. The Thomas-Fermi theory of atoms, molecules and solids. Adv Math. 1977;23:22‐116. · Zbl 0938.81568 |
[3] |
AmbrosettiA, RuizD. Multiple bounded states for Schrödinger-Poisson problem. Commun Contemp Math. 2008;10:391‐404. · Zbl 1188.35171 |
[4] |
D’AprileT, WeiJ. On bound states concentrating on spheres for the Maxwell-Schrödinger equation. SIAM J Math Anal. 2005;37:321‐342. · Zbl 1096.35017 |
[5] |
D’AprileT, WeiJ. Standing waves in the Maxwell-Schrödinger equation and an optimal configuration problem. Calc Var. 2005;25:105‐137. · Zbl 1207.35129 |
[6] |
GeorgievV, PrinariF, ViscigliaN. On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy. Ann Inst H Poincaré, Anal Non Linéaire. 2012;29:369‐376. · Zbl 1260.35204 |
[7] |
IanniI. Sign‐changing radial solutions for the Schrödinger-Poisson-Slater problem. Topol Methods Nonlinear Anal. 2013;41:365‐386. · Zbl 1330.35128 |
[8] |
IanniI, VairaG. On concentration of positive bound states for the Schrödinger-Poisson problem with potentials. Adv Nonlinear Stud. 2008;8:573‐595. · Zbl 1216.35138 |
[9] |
KikuchiH. On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations. Nonlinear Anal. 2007;67:1445‐1456. · Zbl 1119.35085 |
[10] |
LeiY. Qualitative analysis for the static Hartree‐type equations. SIAM J Math Anal. 2013;45:388‐406. · Zbl 1277.45007 |
[11] |
RuizD. The Schrödinger-Poisson equation under the effect of a nonlinear local term. J Funct Anal. 2006;237:655‐674. · Zbl 1136.35037 |
[12] |
RuizD, VairaG. Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimun of potential. Rev Mat Iberoam. 2011;27:253‐271. · Zbl 1216.35024 |
[13] |
TangX, ChenS. Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials. Discrete Contin Dyn Syst. 2017;37:4973‐5002. · Zbl 1371.35051 |
[14] |
RuizD. On the Schrödinger-Poisson-Slater system: Behavior of minimizers, radial and nonradial cases. Arch Ration Mech Anal. 2010;198:349‐368. · Zbl 1235.35232 |
[15] |
IanniI, RuizD. Ground and bound states for a static Schrödinger-Poisson-Slater problem. Commun Contemp Math. 2012;14:1250003. · Zbl 1237.35146 |
[16] |
LeiCY, LeiYT. On the existence of ground states of an equation of Schrödinger-Poisson-Slater type. Comptes Rendus Mathé,matique. 2021;359:219‐227. · Zbl 1460.35084 |
[17] |
BellazziniJ, FrankRL, ViscigliaN. Maximizers for Gagliardo-Nirenberg inequalities and related non‐local problems. Math Ann. 2014;360:653‐673. · Zbl 1320.46026 |
[18] |
BellazziniJ, GhimentiM, MercuriC, MorozV, Van SchaftingenJ. Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. arXiv: 1612.00243; 2017. |
[19] |
WillemM. Minimax theorems. Progress in Nonlinear Differential Equations and Their Applications. Boston, MA: Birkhäuser Boston, Inc; 1996. · Zbl 0856.49001 |