Soliton solutions for quasilinear Schrodinger equations, II

被引:529
作者
Liu, JQ
Wang, YQ
Wang, ZQ [1 ]
机构
[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA
[2] Peking Univ, Dept Math, Beijing 100871, Peoples R China
关键词
standing waves; quasilinear Schrodinger equations; orlicz spaces; minimax methods;
D O I
10.1016/S0022-0396(02)00064-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a class of quasilinear Schrodinger equations, we establish the existence of ground states of soliton-type solutions by a variational method. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:473 / 493
页数:21
相关论文
共 34 条
  • [1] Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7
  • [2] [Anonymous], 1993, TOPOL METHOD NONL AN, DOI DOI 10.12775/TMNA.1993.012
  • [3] [Anonymous], TOPOL METHODS NONLIN
  • [4] Critical points for multiple integrals of the calculus of variations
    Arcoya, D
    Boccardo, L
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1996, 134 (03) : 249 - 274
  • [5] Some remarks on critical point theory for nondifferentiable functionals
    Arcoya, David
    Boccardo, Lucio
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1999, 6 (01): : 79 - 100
  • [6] EXISTENCE AND MULTIPLICITY RESULTS FOR SOME SUPERLINEAR ELLIPTIC PROBLEMS ON R(N)
    BARTSCH, T
    WANG, ZQ
    [J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (9-10) : 1725 - 1741
  • [7] NONLINEAR ELECTROMAGNETIC-SPIN WAVES
    BASS, FG
    NASONOV, NN
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 189 (04): : 165 - 223
  • [8] BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
  • [9] Borovskii A. V., 1993, Journal of Experimental and Theoretical Physics, V77, P562
  • [10] RELATIVISTIC AND PONDEROMOTIVE SELF-FOCUSING OF A LASER-BEAM IN A RADIALLY INHOMOGENEOUS-PLASMA .1. PARAXIAL APPROXIMATION
    BRANDI, HS
    MANUS, C
    MAINFRAY, G
    LEHNER, T
    BONNAUD, G
    [J]. PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1993, 5 (10): : 3539 - 3550