EXISTENCE OF INFINITELY MANY SOLUTIONS FOR FRACTIONAL p-LAPLACIAN EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0
|
作者：
Zhang, Youpei [1 ]
Tang, Xianhua [1 ]
Zhang, Jian [2 ,3 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
[2] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China
[3] Hunan Univ Commerce, Key Lab Hunan Prov Mobile Business Intelligence, Changsha 410205, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年
关键词：
Fractional p-Laplacian; multiple solutions; variational methods; sign-changing potential; SCHRODINGER-EQUATIONS; MULTIPLE SOLUTIONS; WEAK SOLUTIONS; SEQUENCES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In his article, we prove the existence of infinitely many solutions for the fractional p-Laplacian equation (-Delta)(p)(s)u+ v(x)|u|(p-2)u = f (x, u), x is an element of R-N where s is an element of (0, 1), 2 <= p < infinity. Based on a direct sum decomposition of a space E-S, we investigate the multiplicity of solutions for the fractional p-Laplacian equation in R-N. The potential V is allowed to be sign-changing, and the primitive of the nonlinearity f is of super-p growth near infinity in u and allowed to be sign-changing. Our assumptions are suitable and different from those studied previously.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Existence of infinitely many solutions for fractional p-Laplacian Schrodinger-Kirchhoff type equations with sign-changing potential
    Zhang, Youpei
    Tang, Xianhua
    Zhang, Jian
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 569 - 586
  • [2] Existence of infinitely many solutions for fractional p-Laplacian Schrödinger–Kirchhoff type equations with sign-changing potential
    Youpei Zhang
    Xianhua Tang
    Jian Zhang
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 569 - 586
  • [3] New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity
    Cheng, Bitao
    Tang, Xianhua
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 3373 - 3387
  • [4] New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity
    Bitao Cheng
    Xianhua Tang
    [J]. Mediterranean Journal of Mathematics, 2016, 13 : 3373 - 3387
  • [5] Infinitely many sign-changing solutions for p-Laplacian Neumann problems with indefinite weight
    He, Tieshan
    Chen, Chuanyong
    Huang, Yehui
    Hou, Chaojun
    [J]. APPLIED MATHEMATICS LETTERS, 2015, 39 : 73 - 79
  • [6] Weak solutions for a fractional p-Laplacian equation with sign-changing potential
    Xu, Jiafa
    Wei, Zhongli
    Dong, Wei
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2016, 61 (02) : 284 - 296
  • [7] Sign-Changing Solutions of Fractional p-Laplacian Problems
    Chang, Xiaojun
    Nie, Zhaohu
    Wang, Zhi-Qiang
    [J]. ADVANCED NONLINEAR STUDIES, 2019, 19 (01) : 29 - 53
  • [8] On the existence of sign-changing radial solutions to nonlinear p-Laplacian equations in Rn
    Wang, Wei-Chuan
    Cheng, Yan-Hsiou
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 102 : 14 - 22
  • [9] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
    Wu, Yuanze
    Huang, Yisheng
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [10] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
    Yuanze Wu
    Yisheng Huang
    [J]. Boundary Value Problems, 2013
12345