Infinitely Many Solutions for Mixed Elliptic Problems Involving the p-Laplacian

被引:0
|
作者
Bonanno, Gabriele [1 ]
D'Agui, Giuseppina [1 ]
Papageorgiou, Nikolaos S. [2 ]
机构
[1] Univ Messina, Dept Civil Comp Construct Environm Engn & Appl Ma, I-98166 Messina, Italy
[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
关键词
Mixed problem; critical points; BOUNDARY-CONDITIONS; NEUMANN PROBLEM; EQUATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the existence of infinitely many solutions for nonlinear elliptic problems involving the p-Laplacian operator with mixed Dirichlet-Neumann boundary conditions is established. The key assumption is a suitable oscillating behavior, either at infinity or at zero, of the nonlinearity. The approach is based on the critical point theory.
引用
收藏
页码:939 / 950
页数:12
相关论文
共 50 条
  • [31] Infinitely many solutions of p-sublinear p-Laplacian equations
    Jing, Yongtao
    Liu, Zhaoli
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (02) : 1240 - 1257
  • [32] Multiple nonnegative solutions for elliptic boundary value problems involving the p-Laplacian
    Anello, G
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2005, 26 (02) : 355 - 366
  • [33] Infinitely many solutions for problems involving p(x)-Laplacian and p(x)-biharmonic operators
    Sahbani, Abdelhakim
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023,
  • [34] Infinitely Many Solutions for a Class of Kirchhoff Problems Involving the p(x)-Laplacian Operator
    Ghanmi, A.
    Mbarki, L.
    Saoudi, K.
    [J]. MATHEMATICAL NOTES, 2023, 113 (1-2) : 172 - 181
  • [35] Infinitely many solutions for differential inclusion problems in RN involving the p(x)-Laplacian
    Ge, Bin
    Liu, Li-Li
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (01):
  • [36] Infinitely many small energy solutions for Fourth-Order Elliptic Equations with p-Laplacian in RN
    Chahma, Youssouf
    Chen, Haibo
    [J]. APPLIED MATHEMATICS LETTERS, 2023, 144
  • [37] INFINITELY MANY SMALL ENERGY SOLUTIONS TO THE p-LAPLACIAN PROBLEMS OF KIRCHHOFF TYPE WITH HARDY POTENTIAL
    Kim, Yun-ho
    Park, Chae young
    Zeng, Shengda
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [38] 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
  • [39] Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent
    Wu, Yuanze
    Huang, Yisheng
    [J]. BOUNDARY VALUE PROBLEMS, 2013,
  • [40] Infinitely many bounded solutions for the p-Laplacian with nonlinear boundary conditions
    Francesca Faraci
    Antonio Iannizzotto
    Csaba Varga
    [J]. Monatshefte für Mathematik, 2011, 163 : 25 - 38