Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin

被引：3
作者：
Papageorgiou, Nikolaos S. [1 ]
Scapellato, Andrea [2 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece
[2] Univ Catania, Dipartimento Matemat & Informat, Viale Andrea Doria 6, I-95125 Catania, Italy
来源：
ANALYSIS AND MATHEMATICAL PHYSICS | 2021年 / 11卷 / 02期
关键词：
(p; q)-Laplacian; Indefinite potential; Resonant and superlinear reaction; Nonlinear regularity; Nonlinear maximum principle; Nodal solutions; Locally concave term; 35J20; 35J60;
D O I：
10.1007/s13324-021-00482-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a Robin problem driven by the (p, q)-Laplacian plus an indefinite potential term. The reaction is either resonant with respect to the principal eigenvalue or (p-1)-superlinear but without satisfying the Ambrosetti-Rabinowitz condition. For both cases we show that the problem has at least five nontrivial smooth solutions ordered and with sign information. When q=2 (a (p, 2)-equation), we show that we can slightly improve the conclusions of the two multiplicity theorems.
引用
收藏
页数：27
相关论文
共 38 条
  • [21] Multiple Solutions for (p,2)-Equations with Resonance and Concave Terms
    Gasinski, Leszek
    Papageorgiou, Nikolaos S.
    RESULTS IN MATHEMATICS, 2019, 74 (02)
  • [22] Existence of Multiple Solutions for Elliptic Equations with Indefinite Potential
    Lifeng Yin
    Shuai Jiang
    Qualitative Theory of Dynamical Systems, 2024, 23
  • [23] Existence of Multiple Solutions for Elliptic Equations with Indefinite Potential
    Yin, Lifeng
    Jiang, Shuai
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [24] Multiple solutions with sign information for superlinear (p, q)-equations
    Liu, Zhenhai
    Papageorgiou, Nikolaos S.
    POSITIVITY, 2021, 25 (05) : 1805 - 1820
  • [25] Multiple Solutions for a Class of Quasilinear Schrödinger Equations with Indefinite Potential
    Huang, Chen
    Wang, Youjun
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2025, 22 (03)
  • [26] Global Multiplicity for the Positive Solutions of Parametric Singular (p, q)-equations with Indefinite Perturbations
    Papageorgiou, Nikolaos S.
    Zhang, Chao
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2023, 46 (01)
  • [27] Global Multiplicity for the Positive Solutions of Parametric Singular (p, q)-equations with Indefinite Perturbations
    Nikolaos S. Papageorgiou
    Chao Zhang
    Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46
  • [28] Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction
    Guarnotta, Umberto
    Marano, Salvatore A.
    Papageorgiou, Nikolaos S.
    RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2019, 30 (02) : 269 - 294
  • [29] Multiple solutions with sign information for superlinear (p, q)-equations
    Zhenhai Liu
    Nikolaos S. Papageorgiou
    Positivity, 2021, 25 : 1805 - 1820
  • [30] Multiple Solutions for a Class of System of (p, q)- Kirchhoff Equations in RN
    Chen, Qiang
    Chen, Caisheng
    Wei, Yunfeng
    Shi, Yanling
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2021, 27 (03) : 557 - 572
1234