Resonant-Superlinear Nonhomogeneous Dirichlet Problems

被引：0
|
作者：
Zhen Hai Liu
Nikolaos S. Papageorgiou
机构：
[1] Yulin Normal University,Center for Applied Mathematics of Guangxi
[2] Guangxi Minzu University,Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, College of Mathematics and Physics
[3] National Technical University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2023年 / 39卷
关键词：
Asymmetric reaction; resonance; superlinear term; nonlinear regularity; comparison principle; critical groups; solutions with sign information; 35J20; 35J60; Secondary 58E05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a Dirichlet nonlinear equation driven by the (p, 2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric superlinear term and a resonant perturbation. We show that for all small values of the parameter the problem has at least five nontrivial smooth solutions all with sign information.
引用
收藏
页码：2091 / 2116
页数：25
相关论文
共 50 条
  • [1] Resonant-Superlinear Nonhomogeneous Dirichlet Problems
    Liu, Zhen Hai
    Papageorgiou, Nikolaos S.
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (11) : 2091 - 2116
  • [2] Resonant-Superlinear Nonhomogeneous Dirichlet Problems
    Zhen Hai LIU
    Nikolaos S.PAPAGEORGIOU
    [J]. Acta Mathematica Sinica,English Series, 2023, (11) : 2091 - 2116
  • [3] Resonant-Superlinear and Resonant-Sublinear Dirichlet Problems
    Liu, Zhenhai
    Papageorgiou, Nikolaos S.
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (01)
  • [4] Resonant-Superlinear and Resonant-Sublinear Dirichlet Problems
    Zhenhai Liu
    Nikolaos S. Papageorgiou
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2024, 47
  • [5] Existence and multiplicity of solutions for resonant-superlinear problems
    Papageorgiou, Nikolaos S.
    Vetro, Calogero
    Vetro, Francesca
    [J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (05) : 857 - 871
  • [6] Resonant-Superlinear Elliptic Problems Using Variational Methods
    da Silva, Edcarlos Domingos
    Ribeiro, Bruno
    [J]. ADVANCED NONLINEAR STUDIES, 2015, 15 (01) : 157 - 169
  • [7] On a resonant-superlinear elliptic problem
    M. Cuesta
    D.G. de Figueiredo
    P.N. Srikanth
    [J]. Calculus of Variations and Partial Differential Equations, 2003, 17 : 221 - 233
  • [8] Resonant-Superlinear Elliptic Problems at High-Order Eigenvalues
    Silva, Edcarlos D.
    Ribeiro, Bruno
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (03)
  • [9] On a resonant-superlinear elliptic problem
    Cuesta, M
    de Figueiredo, DG
    Srikanth, PN
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2003, 17 (03) : 221 - 233
  • [10] Resonant-Superlinear Elliptic Problems at High-Order Eigenvalues
    Edcarlos D. Silva
    Bruno Ribeiro
    [J]. Mediterranean Journal of Mathematics, 2021, 18
12345