期刊文献+

Ground State Solutions for Schrdinger-Poisson Systems

Ground State Solutions for Schrdinger-Poisson Systems
下载PDF
导出
摘要 This paper deals with a class of Schr¨odinger-Poisson systems. Under some conditions, we prove that there exists a ground state solution of the system. The proof is based on the compactness lemma for the system. Our results here improve some existing results in the literature. This paper deals with a class of Schr¨odinger-Poisson systems. Under some conditions, we prove that there exists a ground state solution of the system. The proof is based on the compactness lemma for the system. Our results here improve some existing results in the literature.
作者 XU Na
机构地区 School of Science
出处 《Chinese Quarterly Journal of Mathematics》 2016年第1期9-18,共10页 数学季刊(英文版)
关键词 Schrdinger-Poisson system ground state solution COMPACTNESS Schrdinger-Poisson system ground state solution compactness
  • 相关文献

参考文献13

  • 1AMBROSETTI A. On SchrSdinger-Poisson systems[J]. Milan J Math, 2008, 76: 257-274.
  • 2AZZOLLINI A. Concentration and compactness in nonlinear SchrSdinger-Poisson systems with a general nonlinearity[J]. Journal of Differential Equations, 2010, 249: 1746-1765.
  • 3BAHRI A, LIONS P L. On the existence of a positive solution of semilinear elliptic equations in unbounded domains[J]. Ann Inst Henri Poincare, 1997, 14: 365-413.
  • 4BENCI V, FORTUNATO D. An eigenvalue problem for the Schr6dinger-Maxwell equations[J]. Topol Meth- ods Nonlinear Anal, 1998, 11: 283-293.
  • 5BERESTYCKI H, LIONS P L. Nonlinear scalar field equations, II existence of infinitely many solutions[J] Arch Ration Mech Anal, 1983, 82(4): 347-375.
  • 6CERAMI G. Some nonlinear elliptic problems in unbounded domains[J]. Milan J Math, 2006, 74: 47-77.
  • 7CERAMI G, VAIRA G. Positive solutions for some non-autonomous SchrSdinger-Poisson systems[J]. Journal of Differential Equations, 2010, 248: 521-543.
  • 8GIDAS B, NI Wei-Ming, NIRENBERG L. Symmetry and related properties via the maximum principle[J]. Comm Math Phys, 1979, 68(3): 209-243.
  • 9KWONG M K. Uniqueness of positive solutions of Au -- u up = 0 in IRN[J]. Arch Ration Mech Anal, 1989, 105: 243-266.
  • 10VAIRA G. Ground states for SchrSdinger-Poisson type systems[J]. Ricerche Mat, 2011, 60: 263-297.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部