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关于R^3上非齐次Schrdinger-Maxwell方程的注记(英文) 被引量:2

A Note on a Nonhomogeneous Schrdinger-Maxwell Equations on R^3
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摘要 运用临界点理论中的Ekeland变分原理研究了非齐次Schrdinger-Maxwell方程解的存在性. The existence of solutions for a nonhomogeneous Schrodinger-Maxwell equation is proved by using the Ekeland's variational principle in critical point theory.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第4期115-119,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(10771173) 中国民航飞行学院青年基金资助项目(Q2009-27)
关键词 Schrodinger-Maxwell方程 非齐次 渐近线性 EKELAND变分原理 Schrodinger-Maxwell equation nonhomogeneous asymptotically linear Ekeland's variational principle
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参考文献11

  • 1Azzollini A, Pomponio A. Ground State Solutions for the Nonlinear Schr6dinger-Maxwell Equations [J]. J Math Anal Appl, 2008, 345(1): 90-108.
  • 2Ambrosetti A, Ruiz D. Multiple Bound States for the SehrOdinger-Poisson Problem [J].Commun Contemp Math, 2008, 10(3) : 391 - 404.
  • 3Salvatore A. Multiple Solitary Waves for a Non-Homogeneous Sehrodinger-Maxwell System in R3 [J]. Adv Nonlinear Stud, 2006, 6(2): 157-169.
  • 4ZHAO Lei-Ga, ZHAO Fu-Kun. Positive Solutions for Schrodinger-Poisson Equations with a Critical Exponent [J].Nonlinear Anal, 2009, 70(6) : 2150 - 2164.
  • 5CHEN Shang-Jie, TANG Chun-Lei. High Energy Solutions for the Superlinear Schrodinger-Maxwell Equations [J]. Nonlinear Anal, 2009, 71 : 4927 - 4934.
  • 6ZOU Wei-Ming, Schechter M. Critical Point Theory and Its Applications[M]. New York: Springer, 2006.
  • 7Benci V, Fortunato D, Masiello A, et al. Solitons and the Electromagnetic Field [J]. Math Z, 1999, 232(1) : 73 - 102.
  • 8Ekeland I. On the Variational Principle[J].J Math Anal Appl, 1974, 47: 324- 353.
  • 9万莉莉,唐春雷.一类渐进线性薛定谔方程解的存在性[J].西南大学学报(自然科学版),2009,31(8):135-137. 被引量:1
  • 10陈尚杰,唐春雷.关于"超二次"Hamilton系统周期解的注记[J].西南师范大学学报(自然科学版),2002,27(6):861-866. 被引量:3

二级参考文献26

  • 1万里平,唐春雷.二阶哈密尔顿系统解的存在性与多重性(英文)[J].西南师范大学学报(自然科学版),2006,31(1):13-17. 被引量:1
  • 2万莉莉,唐春雷.一类二阶微分方程的正同宿轨(英文)[J].西南大学学报(自然科学版),2007,29(3):4-8. 被引量:1
  • 3Bartsch T, Liu Z, Weth T. Sigh Changing Solutions of Superlinear Sehr6dinger Equations [J]. Comm Partial Differential Equations, 2004, 29:25--42.
  • 4Costa D, Tehrani H. On a Class of Asymptotically Linear Elliptic Problems in RN [J]. J Differential Equations, 2001, 173(2) : 470-- 494.
  • 5Ding Y, Luan S. Multiple Solutions for a Class of Nonlinear Schrodinger Equations [J].J Differential Equations, 2004, 207(2) : 423 -- 457.
  • 6Ding Y, Lee C. Multiple Solutions for a Class of Nonlinear Schrodinger Equations with Indefinite Linear Part and Super or Asymptotically IAnear Terms [J]. J Differential Equations, 2006, 222(1) : 137 -- 163.
  • 7Jeanjean L, Tanaka K. A Positive Solution for an Asymptotically Linear Elliptic Problem on RN Autonomous at Infinity [J]. ESAIM Control Optim Calc Var, 2002, 7:597 --614.
  • 8Brezis H. Analyse Fonctionnelle [M]. Paris: Masson, 1983.
  • 9Ekeland I. Convexity Methods in Hamiltonian Mechanics [M]. Berlin: Springer-Verlag, 1990.
  • 10[1]Rabinowitz P. On Subharmonic Solutions of Hamiltonian Systems [J]. Comm Pure Appl Math, 1980, 31: 609-633.

共引文献3

同被引文献20

  • 1ALVES C O, CORREA F J S A, MAT F. Positive Solutions for a Quasilinear Elliptic Equation of Kirchhoff Type [J]. Comput Math Appl, 2005, 49: 85--93.
  • 2CHENG Bi-tao, WU Xian. Existence Results of Positive Solutions of Kirchhoff Type Problems [J].Nonlinear Anal, 2009, 71: 4883--4892.
  • 3HE Xiao-ming, ZOU Wen-ming. Infinitely Many Positive Solutions for Kirchhoff Type Problems [J]. Nonlinear Anal, 2009, 70(3): 1407--1414.
  • 4MA T F, MUNOZ RIVERA J E. Positive Solutions for a Nonlinear Nonlocal Elliptic Transmission Problem [J]. Appl Math Lett, 2003, 16: 243--248.
  • 5MAO An-min, ZHANG Zhi-tao. Sign-Changing and Multiple Solutions of Kirchhoff Type Problems without the P. S. Condition[J]. Nonlinear Anal, 2009, 70: 1275--1287.
  • 6PERERA K, ZHANG Zhi-tao. Nontrival Solutions of Kirchhoff-Type Problems Via the Yang Index [J].J Differential Equations, 2006, 221(1): 246--255.
  • 7ZHANG Zhi-tao, PERERA K. Sign Changing Solutions of Kirchhoff Type Problems Via Invariant Sets of Descent Flow [J]. J Math AnalAppl, 2006, 317(2): 456--463.
  • 8JIN Jia-hua, WU Xian. Infinitely Many Radial Solutions for Kirehhoff-Type Problems in R^N [J]. J Math Anal Appl, 2010, 369: 564--574.
  • 9WU Xian. Existence of Nontrivial Solutions and High Energy Solutions for Schr/Sdinger-Kirchhoff-Type Equations in R^N [J]. Nonlinear Anal: Real World Appl, 2011, 12(2): 1278--1287.
  • 10EKELAND I. On the Variational Principle [J]. Math Anal Appl, 1974, 47: 324--353.

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