A priori estimates for nonlinear differential inequalities and applications

被引：9
|
作者：
Li, Xiaohong [1 ]
Li, Fengquan [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 378卷 / 02期
关键词：
Nonlinear differential inequality; A priori estimates; Harnack-type inequality; Strongly-p-coercive; POSITIVE SOLUTIONS; LOCAL BEHAVIOR; WEAK SOLUTIONS; NONEXISTENCE; EQUATIONS;
D O I：
10.1016/j.jmaa.2010.12.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of the paper is to derive a priori estimates and obtain the Harnack-type inequalities of positive weak solutions for the nonlinear differential inequalities in an exterior domain or interior domain. By using the test function method developed by Mitidieri and Pohozaev, we extend and improve some known results proved by Serrin and Zou. Bidaut-Veron and Pohozaev. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：723 / 733
页数：11
相关论文
共 50 条
  • [41] On Nonexistence of Solutions to Some Nonlinear Functional Differential Inequalities
    Galakhov, Evgeny
    Salieva, Olga
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 105 - 118
  • [42] A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms
    Filippucci, Roberta
    Sun, Yuhua
    Zheng, Yadong
    JOURNAL D ANALYSE MATHEMATIQUE, 2024, 153 (01): : 367 - 400
  • [43] Elliptic inequalities with nonlinear convolution and Hardy terms in cone-like domains
    Ghergu, Marius
    Yu, Zhe
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (01)
  • [44] Absence of Solutions for a System of Ordinary Differential Inequalities
    Li, Xiaohong
    Wan, Haitao
    Li, Xiliang
    MATHEMATICAL NOTES, 2021, 109 (3-4) : 600 - 608
  • [45] A priori estimates of attraction basins for nonlinear least squares, with application to Helmholtz seismic inverse problem
    Barucq, Helene
    Chavent, Guy
    Faucher, Florian
    INVERSE PROBLEMS, 2019, 35 (11)
  • [46] A priori estimates for solutions to anisotropic elliptic problems via symmetrization
    Alberico, A.
    di Blasio, G.
    Feo, F.
    MATHEMATISCHE NACHRICHTEN, 2017, 290 (07) : 986 - 1003
  • [47] A priori estimates of the solution for the Dirichlet problem
    Villacampa, Y
    Balaguer, A
    IMA JOURNAL OF APPLIED MATHEMATICS, 2002, 67 (04) : 371 - 382
  • [48] GLOBAL BIFURCATIONS AND A PRIORI BOUNDS OF POSITIVE SOLUTIONS FOR COUPLED NONLINEAR SCHRODINGER SYSTEMS
    Dai, Guowei
    Tian, Rushun
    Zhang, Zhitao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 12 (07): : 1905 - 1927
  • [49] A priori estimates for relativistic liquid bodies
    Oliynyk, Todd A.
    BULLETIN DES SCIENCES MATHEMATIQUES, 2017, 141 (03): : 105 - 222
  • [50] Nonexistence of Solutions for Nonlinear Differential Inequalities with Singularities on Unbounded Sets
    Xiaohong Li
    Haitao Wan
    Xiliang Li
    Mathematical Notes, 2020, 107 : 121 - 128
12345