Resonance problems for the p-Laplacian systems

被引:14
|
作者
Ou, Zeng-Qi [1 ,2 ]
Tang, Chun-Lei [1 ,3 ]
机构
[1] SW Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
[3] Chinese Univ Hong Kong, Inst Math Sci, Hong Kong, Hong Kong, Peoples R China
基金
中国国家自然科学基金;
关键词
resonance; p-Laplacian systems; Landesman-Lazer-type conditions; critical point theory;
D O I
10.1016/j.jmaa.2008.04.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two existence theorems of the solutions are obtained for the p-Laplacian systems at resonance under a Landesman-Lazer-type condition by critical point theory. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:511 / 521
页数:11
相关论文
共 50 条
  • [31] Asymmetric critical p-Laplacian problems
    Perera, Kanishka
    Yang, Yang
    Zhang, Zhitao
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (05)
  • [32] Asymmetric critical p-Laplacian problems
    Kanishka Perera
    Yang Yang
    Zhitao Zhang
    Calculus of Variations and Partial Differential Equations, 2018, 57
  • [33] A multiplicity theorem for problems with the p-Laplacian
    Motreanu, D.
    Motreanu, V. V.
    Papageorgiou, N. S.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 1016 - 1027
  • [34] The dual eigenvalue problems for p-Laplacian
    Yan-Hsiou Cheng
    Wei-Cheng Lian
    Wei-Chuan Wang
    Acta Mathematica Hungarica, 2014, 142 : 132 - 151
  • [35] Implicit Elliptic Problems with p-Laplacian
    Cabanillas, L. E.
    Luque, J., V
    ARMENIAN JOURNAL OF MATHEMATICS, 2024, 16 (12): : 1 - 10
  • [36] Limit of p-Laplacian obstacle problems
    Capitanelli, Raffaela
    Vivaldi, Maria Agostina
    ADVANCES IN CALCULUS OF VARIATIONS, 2022, 15 (02) : 265 - 286
  • [37] OPTIMIZATION IN PROBLEMS INVOLVING THE P-LAPLACIAN
    Marras, Monica
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
  • [38] Nonhomogeneous Dirichlet problems for the p-Laplacian
    De Figueiredo, Djairo G.
    Gossez, Jean-Pierre
    Ubilla, Pedro
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (02)
  • [39] LINKED EIGENVALUE PROBLEMS FOR THE P-LAPLACIAN
    BINDING, PA
    HUANG, YX
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1994, 124 : 1023 - 1036
  • [40] p-Laplacian problems with jumping nonlinearities
    Rynne, Bryan P.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 226 (02) : 501 - 524