On the first eigencurve of the p-Laplacian

被引：0
|
作者：
Elkhalil, A [1 ]
Touzani, A [1 ]
机构：
[1] Fac Sco Dhar Mahraz, Dept Math, Atlas Fez, Fez, Morocco
来源：
PARTIAL DIFFERENTIAL EQUATIONS, PROCEEDINGS | 2002年 / 229卷
关键词：
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that for any lambda is an element of R the first eigenvalue mu(1)(lambda) of the problem: -Delta(p)mu - lambdam(x)\u\(p-2)u = u\u\(p-2)u in Omega, u is an element of W-0(1,p) (Omega), is simple and isolated in any bounded domain Omega; we also prove some results about variations of the weight m.
引用
收藏
页码：195 / 205
页数：11
相关论文
共 50 条
  • [1] On the principal eigencurve of the p-Laplacian:: Stability phenomena
    El Khalil, Abdelouahed
    El Manouni, Said
    Ouanan, Mohammed
    [J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2006, 49 (03): : 358 - 370
  • [2] BOUNDARY EIGENCURVE PROBLEMS INVOLVING THE P-LAPLACIAN OPERATOR
    El Khalil, Abdelouahed
    Ouanan, Mohammed
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
  • [3] THE FIRST EIGENCURVE FOR A NEUMANN BOUNDARY PROBLEM INVOLVING p-LAPLACIAN WITH ESSENTIALLY BOUNDED WEIGHTS
    Sanhaji, Ahmed
    Dakkak, Ahmed
    Moussaoui, Mimoun
    [J]. OPUSCULA MATHEMATICA, 2023, 43 (04) : 559 - 574
  • [4] LOWER ROUNDS FOR THE FIRST EIGENVALUES OF THE p-LAPLACIAN AND THE WEIGHTED p-LAPLACIAN
    Sun, He-Jun
    Han, Chengyue
    Zeng, Lingzhong
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (02): : 585 - 596
  • [5] The first eigenvalue of Finsler p-Laplacian
    Yin, Song-Ting
    He, Qun
    [J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2014, 35 : 30 - 49
  • [6] Boundedness of the first eigenvalue of the p-Laplacian
    Matei, AM
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (07) : 2183 - 2192
  • [7] ON THE FIRST EIGENVALUE OF THE NORMALIZED p-LAPLACIAN
    Crasta, Graziano
    Fragala, Ilaria
    Kawohl, Bernd
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (02) : 577 - 590
  • [8] A PRIORI ESTIMATE FOR THE FIRST EIGENVALUE OF THE p-LAPLACIAN
    Kajikiya, Ryuji
    [J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2015, 28 (9-10) : 1011 - 1028
  • [9] THE LIMIT OF FIRST EIGENFUNCTIONS OF THE p-LAPLACIAN ON GRAPHS
    Ge, Huabin
    Hua, Bobo
    Jiang, Wenfeng
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 2021, 312 (01) : 103 - 112
  • [10] Nonuniform nonresonance at the first eigenvalue of the p-Laplacian
    Zhang, MR
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (01) : 41 - 51
12345