Singular Neumann (p, q)-equations

被引：0
|
作者：
Nikolaos S. Papageorgiou
Calogero Vetro
Francesca Vetro
机构：
[1] National Technical University,Department of Mathematics
[2] University of Palermo,Department of Mathematics and Computer Science
[3] Ton Duc Thang University,Nonlinear Analysis Research Group
[4] Ton Duc Thang University,Faculty of Mathematics and Statistics
来源：
Positivity | 2020年 / 24卷
关键词：
Singular term; Resonant nonlinearity; Nonlinear regularity; Truncation and comparison; Nonlinear strong maximum principle; (; -equation; 35J92; 35P30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a nonlinear parametric Neumann problem driven by the sum of a p-Laplacian and of a q-Laplacian and exhibiting in the reaction the competing effects of a singular term and of a resonant term. Using variational methods together with suitable truncation and comparison techniques, we show that for small values of the parameter the problem has at least two positive smooth solutions.
引用
收藏
页码：1017 / 1040
页数：23
相关论文
共 50 条
  • [21] Anisotropic Singular Neumann Equations with Unbalanced Growth
    Nikolaos S. Papageorgiou
    Vicenţiu D. Rădulescu
    Dušan D. Repovš
    Potential Analysis, 2022, 57 : 55 - 82
  • [22] Anisotropic Singular Neumann Equations with Unbalanced Growth
    Papageorgiou, Nikolaos S.
    Radulescu, Vicentiu D.
    Repovs, Dusan D.
    POTENTIAL ANALYSIS, 2022, 57 (01) : 55 - 82
  • [23] POSITIVE SOLUTIONS FOR SINGULAR (p, q)-LAPLACIAN EQUATIONS WITH NEGATIVE PERTURBATION
    Papageorgiou, Nikolaos S.
    Vetro, Clogero
    Vetro, Francesca
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (25)
  • [24] Existence for singular critical exponential (p, Q) equations in the Heisenberg group
    Pucci, Patrizia
    Temperini, Letizia
    ADVANCES IN CALCULUS OF VARIATIONS, 2022, 15 (03) : 601 - 617
  • [25] Singular non-autonomous (p, q)-equations with competing nonlinearities
    Papageorgiou, Nikolaos S.
    Qin, Dongdong
    Radulescu, Vicentiu D.
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 81
  • [26] Singular (p, q)-equations with superlinear reaction and concave boundary condition
    Papageorgiou, Nikolaos S.
    Vetro, Calogero
    Vetro, Francesca
    APPLICABLE ANALYSIS, 2022, 101 (03) : 891 - 913
  • [27] Existence and Nonexistence of Positive Solutions for Singular (p, q)-Equations with Superdiffusive Perturbation
    Papageorgiou, Nikolaos S.
    Winkert, Patrick
    RESULTS IN MATHEMATICS, 2021, 76 (04)
  • [28] POSITIVE SOLUTIONS FOR RESONANT SINGULAR NON-AUTONOMOUS (p, q)-EQUATIONS
    Papageorgiou, Nikolaos s.
    Qin, Dongdong
    Radulescu, Vicentiu d.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024,
  • [29] Existence and Nonexistence of Positive Solutions for Singular (p, q)-Equations with Superdiffusive Perturbation
    Nikolaos S. Papageorgiou
    Patrick Winkert
    Results in Mathematics, 2021, 76
  • [30] On the Neumann problem for the Schrodinger equations with singular potentials in Lipschitz domains
    Tao, XX
    Wang, HG
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2004, 56 (03): : 655 - 672
12345