Positive Solutions for a Class of Quasilinear Schrodinger Equations with Two Parameters

被引：7
|
作者：
Chen, Jianhua [1 ]
Wu, Qingfang [2 ]
Huang, Xianjiu [1 ]
Zhu, Chuanxi [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Cent South Univ, Sch Traff & Transportat Engn, Changsha 410075, Hunan, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Positive solutions; Parameters; SOLITON-SOLUTIONS; WAVE SOLUTIONS; EXISTENCE;
D O I：
10.1007/s40840-019-00803-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the following quasilinear Schrodinger equation. By using a change of variable, we obtain the existence of positive solutions for this problem with subcritical nonlinearities by using the mountain pass theorem and Moser iterative method. Our results extend and supplement some other related literatures.
引用
收藏
页码：2321 / 2341
页数：21
相关论文
共 50 条
  • [41] Positive solutions for a class of generalized quasilinear Schrodinger equations involving concave and convex nonlinearities in Orlicz space
    Meng, Yan
    Huang, Xianjiu
    Chen, Jianhua
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (87) : 1 - 26
  • [42] A CLASS OF GENERALIZED QUASILINEAR SCHRODINGER EQUATIONS
    Shen, Yaotian
    Wang, Youjun
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (03) : 853 - 870
  • [43] Positive solutions of a class of semilinear equations with absorption and Schrodinger equations
    Ancona, Alano
    Marcus, Moshe
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2015, 104 (03): : 587 - 618
  • [44] On a class quasilinear Schrodinger equations in Rn
    de Souza, Manasses
    Marcos, Joao do O.
    da Silva, Tarciana
    APPLICABLE ANALYSIS, 2016, 95 (02) : 323 - 340
  • [45] Positive solutions for generalized quasilinear Schrodinger equations with asymptotically linear nonlinearities
    Li, Guofa
    Huang, Yisheng
    APPLICABLE ANALYSIS, 2021, 100 (05) : 1051 - 1066
  • [46] Existence and concentration of positive solutions for quasilinear Schrodinger equations with critical growth
    He, Xiaoming
    Qian, Aixia
    Zou, Wenming
    NONLINEARITY, 2013, 26 (12) : 3137 - 3168
  • [47] Positive soliton solutions for generalized quasilinear Schrodinger equations with critical growth
    Deng, Yinbin
    Peng, Shuangjie
    Yan, Shusen
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (01) : 115 - 147
  • [48] POSITIVE SOLUTIONS FOR CRITICAL QUASILINEAR SCHRODINGER EQUATIONS WITH POTENTIALS VANISHING AT INFINITY
    LI, Guofa
    Huang, Yisheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (07): : 3971 - 3989
  • [49] Positive solutions for generalized quasilinear Schrodinger equations with potential vanishing at infinity
    Shi, Hongxia
    Chen, Haibo
    APPLIED MATHEMATICS LETTERS, 2016, 61 : 137 - 142
  • [50] POSITIVE SOLUTIONS FOR ASYMPTOTICALLY 3-LINEAR QUASILINEAR SCHRODINGER EQUATIONS
    Li, Guofa
    Cheng, Bitao
    Huang, Yisheng
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
12345