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带有负的非局部项的Schrdinger-Poisson方程的正基态解 被引量:2

On Positive Ground State Solution to the Schrdinger-Poisson System with the Negative Non-Local Term
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摘要 利用山路定理得到了带负的非局部项的Schrdinger-Poisson方程的正基态解. We obtain a positive ground state solution to the Schrodinger-Poisson system with the negative non-local term by the Mountain Pass Theorem.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第6期68-71,共4页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071198)
关键词 Schrodinger-Poisson方程 变分法 基态解 Schrodinger-Poisson system variational method ground state solution
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参考文献6

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同被引文献16

  • 1David Ruiz.The Schr?dinger–Poisson equation under the effect of a nonlinear local term[J]. Journal of Functional Analysis . 2006 (2)
  • 2Leiga Zhao,Fukun Zhao.On the existence of solutions for the Schr?dinger–Poisson equations[J]. Journal of Mathematical Analysis and Applications . 2008 (1)
  • 3A. Azzollini,A. Pomponio.Ground state solutions for the nonlinear Schr?dinger–Maxwell equations[J]. Journal of Mathematical Analysis and Applications . 2008 (1)
  • 4Giusi Vaira.Ground states for Schr\"odinger-Poisson type systems. Ric. Mat . 2011
  • 5Antonio Ambrosetti,David Ruiz.Multiple bound states for the Schr\"odinger-Poisson problem. Commun. Contemp. Math . 2008
  • 6Paul H. Rabinowitz.On a class of nonlinear Schr\"odinger equations. Zeitschrift für Angewandte Mathematik und Mechanik . 1992
  • 7Ambrosetti A,Rabinowitz PH.Dual variational methods in critical point theory and applications. Journal of Functional Analysis . 1973
  • 8Lions PL.The concentration-compactness principle in the calculus of variations. The locally compact case, Part II. Annales de l’Institut Henri Poincare - Analyse non lineaire . 1984
  • 9VAIRA G.Existence of Bounded States for Schrdinger-Poisson Type Systems. S I S S A . 2012
  • 10陈尚杰,李麟.一类R^3上非齐次Klein-Gordon-Maxwell方程解的存在性[J].西南师范大学学报(自然科学版),2013,38(4):35-39. 被引量:3

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