TY - JOUR AU - Benguria, R. AU - Bris, H. AU - Lieb, E. PY - 1981 DA - 1981// TI - The Thomas-Fermi-von Weizsäcker theory of atoms and molecules JO - Commun. Math. Phys. VL - 79 UR - https://doi.org/10.1007/BF01942059 DO - 10.1007/BF01942059 ID - Benguria1981 ER - TY - JOUR AU - Lieb, E. H. PY - 1981 DA - 1981// TI - Thomas-Fermi and related theories and molecules JO - Rev. Mod. Phys. VL - 53 UR - https://doi.org/10.1103/RevModPhys.53.603 DO - 10.1103/RevModPhys.53.603 ID - Lieb1981 ER - TY - JOUR AU - Benci, V. AU - Fortunato, D. PY - 1998 DA - 1998// TI - An eigenvalue problem for the Schrödinger-Maxwell equations JO - Topol. Methods Nonlinear Anal. VL - 11 ID - Benci1998 ER - TY - JOUR AU - Lions, P. L. PY - 1984 DA - 1984// TI - Solutions of Hartree-Fock equations for Coulomb systems JO - Commun. Math. Phys. VL - 109 UR - https://doi.org/10.1007/BF01205672 DO - 10.1007/BF01205672 ID - Lions1984 ER - TY - BOOK AU - Markowich, P. AU - Ringhofer, C. AU - Schmeiser, C. PY - 1990 DA - 1990// TI - Semiconductor Equations PB - Springer CY - New York UR - https://doi.org/10.1007/978-3-7091-6961-2 DO - 10.1007/978-3-7091-6961-2 ID - Markowich1990 ER - TY - JOUR AU - Ruiz, D. PY - 2006 DA - 2006// TI - The Schrödinger-Poisson equation under the effect of a nonlinear local term JO - J. Funct. Anal. VL - 237 UR - https://doi.org/10.1016/j.jfa.2006.04.005 DO - 10.1016/j.jfa.2006.04.005 ID - Ruiz2006 ER - TY - JOUR AU - Seok, J. PY - 2013 DA - 2013// TI - On nonlinear Schrödinger-Poisson equations with general potentials JO - J. Math. Anal. Appl. VL - 401 UR - https://doi.org/10.1016/j.jmaa.2012.12.054 DO - 10.1016/j.jmaa.2012.12.054 ID - Seok2013 ER - TY - JOUR AU - Ambrosetti, A. AU - Ruiz, D. PY - 2008 DA - 2008// TI - Multiple bound states for the Schrödinger-Poisson equation JO - Commun. Contemp. Math. VL - 10 UR - https://doi.org/10.1142/S021919970800282X DO - 10.1142/S021919970800282X ID - Ambrosetti2008 ER - TY - JOUR AU - Azzollini, A. AU - Pomponio, A. PY - 2008 DA - 2008// TI - Ground state solutions for the nonlinear Schrödinger-Maxwell equations JO - J. Math. Anal. Appl. VL - 345 UR - https://doi.org/10.1016/j.jmaa.2008.03.057 DO - 10.1016/j.jmaa.2008.03.057 ID - Azzollini2008 ER - TY - JOUR AU - Cerami, G. AU - Vaira, G. PY - 2010 DA - 2010// TI - Positive solution for some non-autonomous Schrödinger-Poisson systems JO - J. Differ. Equ. VL - 248 UR - https://doi.org/10.1016/j.jde.2009.06.017 DO - 10.1016/j.jde.2009.06.017 ID - Cerami2010 ER - TY - JOUR AU - D’Aprile, T. AU - Mugnai, D. PY - 2004 DA - 2004// TI - Solitary waves for nonlinear Klein-Gordon-Maxwell and Schrödinger-Maxwell equations JO - Proc. R. Soc. Edinb., Sect. A VL - 134 UR - https://doi.org/10.1017/S030821050000353X DO - 10.1017/S030821050000353X ID - D’Aprile2004 ER - TY - JOUR AU - Huang, L. R. AU - Rocha, E. M. AU - Chen, J. Q. PY - 2013 DA - 2013// TI - Two positive solutions of a class of Schrödinger-Poisson system with indefinite nonlinearity JO - J. Differ. Equ. VL - 255 UR - https://doi.org/10.1016/j.jde.2013.06.022 DO - 10.1016/j.jde.2013.06.022 ID - Huang2013 ER - TY - JOUR AU - Sun, J. T. PY - 2012 DA - 2012// TI - Infinitely many solutions for a class of sublinear Schrödinger-Maxwell equations JO - J. Math. Anal. Appl. VL - 390 UR - https://doi.org/10.1016/j.jmaa.2012.01.057 DO - 10.1016/j.jmaa.2012.01.057 ID - Sun2012 ER - TY - JOUR AU - Sun, J. T. AU - Wu, T. F. PY - 2015 DA - 2015// TI - On the nonlinear Schrödinger-Poisson system with sign-changing potential JO - Z. Angew. Math. Phys. ID - Sun2015 ER - TY - JOUR AU - Wang, J. AU - Tian, L. X. AU - Xu, J. X. AU - Zhang, F. B. PY - 2013 DA - 2013// TI - Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in R3$\mathbb{R}^{3}$ JO - Calc. Var. VL - 48 UR - https://doi.org/10.1007/s00526-012-0548-6 DO - 10.1007/s00526-012-0548-6 ID - Wang2013 ER - TY - JOUR AU - Zhao, L. G. AU - Zhao, F. K. PY - 2009 DA - 2009// TI - Positive solutions for Schrödinger-Poisson equations with a critical exponent JO - Nonlinear Anal. VL - 70 UR - https://doi.org/10.1016/j.na.2008.02.116 DO - 10.1016/j.na.2008.02.116 ID - Zhao2009 ER - TY - JOUR AU - Ambrosetti, A. PY - 2008 DA - 2008// TI - On Schrödinger-Poisson systems JO - Milan J. Math. VL - 76 UR - https://doi.org/10.1007/s00032-008-0094-z DO - 10.1007/s00032-008-0094-z ID - Ambrosetti2008 ER - TY - JOUR AU - Coclite, G. M. PY - 2003 DA - 2003// TI - A multiplicity result for the nonlinear Schrödinger-Maxwell equations JO - Commun. Appl. Anal. VL - 7 ID - Coclite2003 ER - TY - JOUR AU - Coclite, G. M. PY - 2002 DA - 2002// TI - A multiplicity result for the Schrödinger-Maxwell equations with negative potential JO - Ann. Pol. Math. VL - 79 UR - https://doi.org/10.4064/ap79-1-2 DO - 10.4064/ap79-1-2 ID - Coclite2002 ER - TY - JOUR AU - D’Aprile, T. AU - Mugnai, D. PY - 2004 DA - 2004// TI - Non-existence results for the coupled Klein-Gordon-Maxwell equations JO - Adv. Nonlinear Stud. VL - 4 ID - D’Aprile2004 ER - TY - JOUR AU - Kikuchi, H. PY - 2007 DA - 2007// TI - On the existence of a solution for elliptic system related to the Maxwell-Schrödinger equations JO - Nonlinear Anal. VL - 67 UR - https://doi.org/10.1016/j.na.2006.07.029 DO - 10.1016/j.na.2006.07.029 ID - Kikuchi2007 ER - TY - JOUR AU - Mercuri, C. PY - 2008 DA - 2008// TI - Positive solutions of nonlinear Schrödinger-Poisson systems with radial potentials vanishing at infinity JO - Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. VL - 19 UR - https://doi.org/10.4171/RLM/520 DO - 10.4171/RLM/520 ID - Mercuri2008 ER - TY - JOUR AU - Salvatore, A. PY - 2006 DA - 2006// TI - Multiple solitary waves for a non-homogeneous Schrödinger-Maxwell system in R3$\mathbb{R}^{3}$ JO - Adv. Nonlinear Stud. VL - 6 UR - https://doi.org/10.1515/ans-2006-0203 DO - 10.1515/ans-2006-0203 ID - Salvatore2006 ER - TY - JOUR AU - Wang, Z. P. AU - Zhou, H. S. PY - 2007 DA - 2007// TI - Positive solutions for a nonlinear stationary Schrödinger-Poisson system in R3$\mathbb{R}^{3}$ JO - Discrete Contin. Dyn. Syst. VL - 18 UR - https://doi.org/10.3934/dcds.2007.18.121 DO - 10.3934/dcds.2007.18.121 ID - Wang2007 ER - TY - JOUR AU - Zhao, L. G. AU - Zhao, F. K. PY - 2008 DA - 2008// TI - On the existence of solutions for the Schrödinger-Poisson equations JO - J. Math. Anal. Appl. VL - 346 UR - https://doi.org/10.1016/j.jmaa.2008.04.053 DO - 10.1016/j.jmaa.2008.04.053 ID - Zhao2008 ER - TY - JOUR AU - Sun, J. T. AU - Chen, H. B. AU - Nieto, J. J. PY - 2012 DA - 2012// TI - On ground state solutions for some non-autonomous Schrödinger-Poisson systems JO - J. Differ. Equ. VL - 252 UR - https://doi.org/10.1016/j.jde.2011.12.007 DO - 10.1016/j.jde.2011.12.007 ID - Sun2012 ER - TY - JOUR AU - Ye, Y. W. AU - Tang, C. L. PY - 2015 DA - 2015// TI - Existence and multiplicity of solutions for Schrödinger-Poisson equations with sign-changing potential JO - Calc. Var. VL - 53 UR - https://doi.org/10.1007/s00526-014-0753-6 DO - 10.1007/s00526-014-0753-6 ID - Ye2015 ER - TY - JOUR AU - Wu, T. F. PY - 2009 DA - 2009// TI - Multiplicity results for a semi-linear elliptic equation involving sign-changing weigh function JO - Rocky Mt. J. Math. VL - 39 UR - https://doi.org/10.1216/RMJ-2009-39-3-995 DO - 10.1216/RMJ-2009-39-3-995 ID - Wu2009 ER - TY - JOUR AU - Huang, L. R. AU - Rocha, E. M. PY - 2013 DA - 2013// TI - A positive solution of a Schrödinger-Poisson system with critical exponent JO - Commun. Math. Anal. VL - 15 ID - Huang2013 ER - TY - JOUR AU - Huang, L. R. AU - Rocha, E. M. AU - Chen, J. Q. PY - 2013 DA - 2013// TI - Positive and sign-changing solutions of a Schrödinger-Poisson system involving a critical nonlinearity JO - J. Math. Anal. Appl. VL - 408 UR - https://doi.org/10.1016/j.jmaa.2013.05.071 DO - 10.1016/j.jmaa.2013.05.071 ID - Huang2013 ER - TY - JOUR AU - Shen, Z. P. AU - Han, Z. Q. PY - 2015 DA - 2015// TI - Multiple solutions for a class of Schrödinger-Poisson systems with indefinite nonlinearity JO - J. Math. Anal. Appl. ID - Shen2015 ER - TY - JOUR AU - Sun, M. Z. AU - Su, J. B. AU - Zhao, L. G. PY - 2015 DA - 2015// TI - Infinitely many solutions for a Schrödinger-Poisson system with concave and convex nonlinearities JO - Discrete Contin. Dyn. Syst. VL - 35 UR - https://doi.org/10.3934/dcds.2015.35.3217 DO - 10.3934/dcds.2015.35.3217 ID - Sun2015 ER - TY - JOUR AU - Wu, T. F. PY - 2009 DA - 2009// TI - Four positive solutions for a semilinear elliptic equation involving concave and convex nonlinearities JO - Nonlinear Anal. VL - 70 UR - https://doi.org/10.1016/j.na.2008.02.017 DO - 10.1016/j.na.2008.02.017 ID - Wu2009 ER - TY - JOUR AU - Wu, T. F. PY - 2008 DA - 2008// TI - The Nehari manifold for a semilinear elliptic system involving sign-changing weight functions JO - Nonlinear Anal. VL - 68 UR - https://doi.org/10.1016/j.na.2007.01.004 DO - 10.1016/j.na.2007.01.004 ID - Wu2008 ER - TY - JOUR AU - Chen, S. J. AU - Tang, C. L. PY - 2010 DA - 2010// TI - Multiple solutions for a non-homogeneous Schrödinger-Maxwell and Klein-Gordon-Maxwell equations on R3$\mathbb{R}^{3}$ JO - Nonlinear Differ. Equ. Appl. VL - 17 UR - https://doi.org/10.1007/s00030-010-0068-z DO - 10.1007/s00030-010-0068-z ID - Chen2010 ER - TY - JOUR AU - Ding, L. AU - Li, L. AU - Zhang, J. L. PY - 2013 DA - 2013// TI - Multiple solutions for nonhomogeneous Schrödinger-Poisson system with asymptotical nonlinearity in R3$\mathbb{R}^{3}$ JO - Taiwan. J. Math. VL - 17 UR - https://doi.org/10.11650/tjm.17.2013.2798 DO - 10.11650/tjm.17.2013.2798 ID - Ding2013 ER - TY - JOUR AU - Du, M. AU - Zhang, F. B. PY - 2013 DA - 2013// TI - Existence of positive solutions for a nonhomogeneous Schrödinger-Poisson system in R3$\mathbb{R}^{3}$ JO - Int. J. Nonlinear Sci. VL - 16 ID - Du2013 ER - TY - JOUR AU - Jiang, Y. S. AU - Wang, Z. P. AU - Zhou, H. S. PY - 2013 DA - 2013// TI - Multiple solutions for a nonhomogeneous Schrödinger-Maxwell system in R3$\mathbb{R}^{3}$ JO - Nonlinear Anal. VL - 83 UR - https://doi.org/10.1016/j.na.2013.01.006 DO - 10.1016/j.na.2013.01.006 ID - Jiang2013 ER - TY - JOUR AU - Yang, M. B. AU - Li, B. R. PY - 2009 DA - 2009// TI - Solitary waves for non-homogeneous Schrödinger-Maxwell system JO - Appl. Math. Comput. VL - 215 UR - https://doi.org/10.1016/j.amc.2009.04.038 DO - 10.1016/j.amc.2009.04.038 ID - Yang2009 ER - TY - JOUR AU - Bartsch, T. AU - Wang, Z. Q. PY - 1995 DA - 1995// TI - Existence and multiplicity results for some superlinear elliptic problem on RN$\mathbb{R}^{N}$ JO - Commun. Partial Differ. Equ. VL - 20 UR - https://doi.org/10.1080/03605309508821149 DO - 10.1080/03605309508821149 ID - Bartsch1995 ER - TY - JOUR AU - Strauss, W. A. PY - 1977 DA - 1977// TI - Existence of solitary waves in higher dimensions JO - Commun. Math. Phys. VL - 55 UR - https://doi.org/10.1007/BF01626517 DO - 10.1007/BF01626517 ID - Strauss1977 ER - TY - STD TI - Wang, LX, Ma, SW: Multiple solutions for a nonhomogeneous Schrödinger-Poisson system with concave and convex nonlinearity. Acta Math. Appl. Sin., Engl. Ser. (submitted) ID - ref42 ER - TY - BOOK AU - Zou, W. M. AU - Schechter, M. PY - 2006 DA - 2006// TI - Critical Point Theory and Its Applications PB - Springer CY - New York ID - Zou2006 ER - TY - BOOK AU - Mawhin, J. AU - Willem, M. PY - 1989 DA - 1989// TI - Critical Point Theory and Hamiltonian Systems PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4757-2061-7 DO - 10.1007/978-1-4757-2061-7 ID - Mawhin1989 ER - TY - BOOK AU - Willem, M. PY - 1996 DA - 1996// TI - Minimax Theorems PB - Birkhäuser CY - Boston UR - https://doi.org/10.1007/978-1-4612-4146-1 DO - 10.1007/978-1-4612-4146-1 ID - Willem1996 ER -