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Quantitative Properties on the Steady States to a Schr?dinger-Poisson-Slater System 被引量：1

Quantitative Properties on the Steady States to a Schr?dinger-Poisson-Slater System
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摘要 In this paper,we obtain the existence,uniqueness and asymptotic behavior of steady states to a class of Schr？dinger-Poisson-Slater System. In this paper,we obtain the existence,uniqueness and asymptotic behavior of steady states to a class of Schr？dinger-Poisson-Slater System.
作者 Chang-Lin XIANG
机构地区 University of Jyvaskyla
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第12期1845-1856,共12页 数学学报（英文版）
基金 Supported by the Academy of Finland,project 259224
关键词 Schrodinger-Poisson-Slater system existence UNIQUENESS asymptotic behavior Schrodinger-Poisson-Slater system existence uniqueness asymptotic behavior
分类号 O175 [理学—基础数学]
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参考文献22

  • 1Bokanowski, O., L6pez, J. L., Snchez, 6, et al.: Long time behavior to the SchrSdinger Poisson-X systems. In: Mathematical Physics of Quantum Mechanics, Lecture Notes in Phys., 690, Springer, Berlin, 2006, 217-232.
  • 2Bokanowski, O., L6pez, J. L., Soler, J.: On an exchange interaction model for quantum transport: The SchrSdinger Poisson-Slater system. Math. Models Methods Appl. Sci., 13, 1397-1412 (2003).
  • 3Catto, I., Dolbeault, J., Snchez, O., et al.: Existence of steady states for the Maxwell-SchrSdinger-Poisson system: exploring the applicability of the concentration-compactness principle. Math. Models Methods Appl. Sci., 23, 1915 1938 (2013).
  • 4Cazenave, T., Lions, P. L.: Orbital stability of standing waves for some nonlinear SchrSdinger equations. Commun. Math. Phys., 85, 549-561 (1982).
  • 5D'Aprile, T., Mugnai, D.: Solitary waves for nonlinear Klein-Gordon Maxwell and SchrGdinger Maxwell equations. Proc. Roy. Soc. Edinburgh Sect. A, 134, 893-906 (2004).
  • 6Georgiev, V., Prinari, F., Visciglia, N.: On the radiality of constrained minimizers to the SchrSdinger- Poisson-Slater energy. Ann. Inst. H. Poincard Anal. Non Lindaire 29, 369-376 (2012).
  • 7Gilbarg, D., Trudinger, N. S.: Elliptic Partial Differential Equations of Second Order, Reprint of the 1998 edition, Classics in Mathematics, Springer-Verlag, Berlin, 2001.
  • 8Illner, R., Zweifel, P. F., Lange,. H.: Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and SchrSdinger-Poisson systems. Math. Methods Appl. Sci., 17(5), 349-376 (1994).
  • 9Lenzmann, E.: Uniqueness of ground states for pseudorelativistic Hartree equations. Anal. PDE, 2(1), 1-27 (2009).
  • 10Lieb, E. H.: Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation. Stud. Appl. Math., 57, 93-105 (1976/77).

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Acta Mathematica Sinica,English Series
2015年 第12期

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