References
- Benguria R, Brézis H, Lieb EH. The Thomas--Fermi--von Weizsäcker theory of atoms and molecules. Comm. Math. Phys. 1981;79:167–180.
- Catto I, Lions P-L. Binding of atoms and stability of molecules in Hartree and Thomas--Fermi type theories. I. A necessary and sufficient condition for the stability of general molecular systems. Comm. Partial Differ. Equ. 1992;17:1051–1110.
- Lieb EH. Thomas--Fermi and related theories of atoms and molecules. Rev. Modern Phys. 1981;53:603-–641.
- Benci V, Fortunato D. An eigenvalue problem for the Schrödinger-Maxwell equations. Topol. Methods Nonlinear Anal. 1998;11:283–293.
- Benci V, Fortunato D. Solitary waves of the nonlinear Klein-Gordon equation coupled with the Maxwell equations. Rev. Math. Phys. 2002;14:409–420.
- Markowich PA, Ringhofer CA, Schmeiser C. Semiconductor equations. Vienna: Springer-Verlag; 1990.
- Azzollini A. Concentration and compactness in nonlinear Schrödinger--Poisson system with a general nonlinearity. J. Differ. Equ. 2010;249:1746–1763.
- Azzollini A, d’Avenia P, Pomponio A. On the Schrödinger–Maxwell equations under the effect of a general nonlinear term. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2010;27:779–791.
- Azzollini A, Pomponio A. Ground state solutions for the nonlinear Schrödinger--Maxwell equations. J. Math. Anal. Appl. 2008;345:90–108.
- Li F, Zhang Q. Existence of positive solutions to the Schrödinger--Poisson system without compactness conditions. J. Math. Anal. Appl. 2013;401:754–762.
- Ruiz D. The Schrödinger--Poisson equation under the effect of a nonlinear local term. J. Funct. Anal. 2006;237:655–674.
- Cerami G, Vaira G. Positive solutions for some non-autonomous Schrödinger--Poisson systems. J. Differ. Equ. 2010;248:521–543.
- Huang L, Rocha EM, Chen J. Two positive solutions of a class of Schrödinger--Poisson system with indefinite nonlinearity. J. Differ. Equ. 2013;255:2463–2483.
- Shen Z, Han Z. Multiple solutions for a class of Schrödinger--Poisson system with indefinite nonlinearity. J. Math. Anal. Appl. 2015;426:839–854.
- Sun J, Chen H, Nieto JJ. On ground state solutions for some non-autonomous Schrödinger--Poisson systems. J. Differ. Equ. 2012;252:3365–3380.
- Sun J, Wu T-F. On the nonlinear Schrödinger--Poisson systems with sign-changing potential. Z. Angew. Math. Phys. 2015;66:1649–1669.
- Ye Y, Tang C-L. Existence and multiplicity of solutions for Schrödinger--Poisson equations with sign-changing potential. Calc. Var. Partial Differ. Equ. 2015;53:383–411.
- Zhang Q, Li F, Liang Z. Existence of multiple positive solutions to nonhomogeneous Schrödinger--Poisson system. Appl. Math. Comput. 2015;259:353–363.
- Willem M. Minimax theorems. Vol. 24, Progress in nonlinear differential equations and their applications. Boston (MA): Birkhäuser Boston Inc.; 1996.