An eigenvalue problem for the Dirichlet (p, q)-Laplacian

被引:0
|
作者
Gasinski, Leszek [1 ]
Papageorgiou, Nikolaos S. [2 ]
机构
[1] Pedag Univ Cracow, Dept Math, Krakow, Poland
[2] Natl Tech Univ Athens, Dept Math, Athens, Greece
关键词
Cut-off and bump functions; nonlinear regularity theory; truncation; global multiplicity of solutions; DEGENERATE ELLIPTIC EQUATION; POSITIVE SOLUTIONS;
D O I
10.1080/17476933.2023.2199210
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider an eigenvalue problem for the Dirichlet (p, q)-Laplacian. Using truncations and variational tools we prove a global multiplicity result producing at least two positive solutions.
引用
收藏
页码:1214 / 1223
页数:10
相关论文
共 50 条
  • [41] Minimization of the third eigenvalue of the Dirichlet Laplacian
    Bucur, D
    Henrot, A
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (1996): : 985 - 996
  • [42] Existence results for Dirichlet problems with (q, p)-Laplacian
    Cringanu, Jenica
    Pasca, Daniel
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 828 - 836
  • [43] Eigenvalue problems and their perturbations for the weighted (p, q)-Laplacian
    Gasinski, Leszek
    Papageorgiou, Nikolaos S.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 101
  • [44] Dirichlet Eigenvalue Ratios for the p-sub-Laplacian in the Carnot Group
    Wei Na
    Niu Pengcheng
    Liu Haifeng
    JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2009, 22 (01): : 1 - 10
  • [45] The behaviour of the p(x)-Laplacian eigenvalue problem as p(x) → ∞
    Perez-Llanos, Mayte
    Rossi, Julio D.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 363 (02) : 502 - 511
  • [46] Three positive solutions for a nonlinear partial discrete Dirichlet problem with (p,q)-Laplacian operator
    Xiong, Feng
    Zhou, Zhan
    BOUNDARY VALUE PROBLEMS, 2022, 2022 (01):
  • [47] CONVERGENCE ANALYSIS OF A GALERKIN BOUNDARY ELEMENT METHOD FOR THE DIRICHLET LAPLACIAN EIGENVALUE PROBLEM
    Steinbach, O.
    Unger, G.
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (02) : 710 - 728
  • [48] A transmission problem with (p, q)-Laplacian
    Colombo, Maria
    Kim, Sunghan
    Shahgholian, Henrik
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2023, 48 (02) : 315 - 349
  • [49] Existence of solutions for a Dirichlet problem with a p-Laplacian
    Yuan, Jian-Jun
    Ou, Zeng-Qi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (02) : 577 - 585
  • [50] On the eigenvalue problem for the p-Laplacian operator in RN
    Liu, Jiaquan
    Liu, Xiangqing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 379 (02) : 861 - 869