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一类具有变号非线性项的Schrodinger方程的解 被引量：2

Solutions for a Class of Schrdinger Equations with Indefinite Nonlinearities
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摘要 利用山路定理讨论了一类带变号非线性项的Schrdinger方程解的存在性. In this paper, we investigate the existence of solutions for a class of Schr6dinger equations with indefinite nonlinearities by using the Mountain Pass Theorem.
作者 吕颖
机构地区 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第5期75-79,共5页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(11071198) 西南大学博士基金资助项目(SWU112107)
关键词 SCHRODINGER方程 变号非线性项 山路定理 Schr?dinger equations indefinite nonlinearity Mountain Pass Theorem
分类号 O176.3 [理学—基础数学]
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参考文献20

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同被引文献17

  • 1Xiang-Qing Liu,Jia-Quan Liu,Zhi-Qiang Wang.Quasilinear elliptic equations via perturbation method[J]. Proceedings of the American Mathematical Society . 2012 (1)
  • 2Markus Poppenberg,Klaus Schmitt,Zhi-Qiang Wang.On the existence of soliton solutions to quasilinear Schr?dinger equations[J]. Calculus of Variations and Partial Differential Equations . 2002 (3)
  • 3Jia-quan Liu,Ya-qi Wang,Zhi-Qiang Wang.Soliton solutions for quasilinear Schr\"odinger equations. II. J. Differ. Equations . 2003
  • 4Yaotian Shen,Youjun Wang.Soliton solutions for generalized quasilinear Schr?dinger equations. Nonlinear Analysis . 2013
  • 5Lions,P.L.The concentration-compactness principle in the calculus of variations. The locally compact case, Part I. Annales de l’Institut Henri Poincare - Analyse non lineaire . 1984
  • 6Kelley PL.Self-focusing of optical beams. Physical Review . 1965
  • 7L1N X Y ,TANG X U. Existence of infinitely many solutions for p-Laplacian equations in R[ J]. Nonlinear analysis ,2013, 92:72 - 81.
  • 8KRISTALYA A, MOROSANU G, TERSIAN S. Quasilinear elliptic problems in Rinvolving oscillatory nonlinearities [ J ]. Journal of differential equations,2007,235:366 -375.
  • 9LIU S B. On ground states of superlinear p-Laplacian equations in RN [ J ]. Journal of mathematical analysis and applications,2010,361 ( 1 ) :48 - 58.
  • 10LIU S B. Existence of snlutions to a superlinear p-Laplacian equation [ J ]. Electronic journal of differential equations ,2001, 66:1 -6.

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二级引证文献5

西南大学学报（自然科学版）
2013年 第5期

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