On a nonlinear eigenvalue problem in Orlicz-Sobolev spaces

被引：38
|
作者：
Gossez, JP
Manásevich, R
机构：
[1] Free Univ Brussels, Dept Math, B-1050 Brussels, Belgium
[2] Univ Chile, Ctr Modelamiento Matemat, Santiago 3, Chile
[3] Univ Chile, Dept Ingn Matemat, Santiago 3, Chile
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2002年 / 132卷
关键词：
D O I：
10.1017/S030821050000192X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the eigenvalue problem -Delta(m) (u) = lambdam(u) in Omega, u = 0 on partial derivativeOmega in an arbitrary Orlicz-Sobolev space. We show that the existence of an eigenvalue can be derived from a generalized version of Lagrange multiplier rule. Our approach also applies to more general problems. We emphasize that no Delta(2) condition is imposed.
引用
收藏
页码：891 / 909
页数：19
相关论文
共 50 条
  • [1] On a nonlinear eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces
    Youssfi, Ahmed
    Khatri, Mohamed Mahmoud Ould
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 190 (190)
  • [2] An eigenvalue problem for generalized Laplacian in Orlicz-Sobolev spaces
    Mustonen, V
    Tienari, M
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1999, 129 : 153 - 163
  • [3] Arbitrarily small weak solutions for a nonlinear eigenvalue problem in Orlicz-Sobolev spaces
    Bonanno, Gabriele
    Bisci, Giovanni Molica
    Radulescu, Vicentiu
    [J]. MONATSHEFTE FUR MATHEMATIK, 2012, 165 (3-4): : 305 - 318
  • [4] Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces
    Bonanno, Gabriele
    Bisci, Giovanni Molica
    Radulescu, Vicentiu
    [J]. COMPTES RENDUS MATHEMATIQUE, 2011, 349 (5-6) : 263 - 268
  • [5] On a non-smooth eigenvalue problem in Orlicz-Sobolev spaces
    Le, Vy K.
    Motreanu, Dumitru
    Motreanu, Viorica V.
    [J]. APPLICABLE ANALYSIS, 2010, 89 (02) : 229 - 242
  • [6] A STRONGLY NONLINEAR ELLIPTIC PROBLEM IN ORLICZ-SOBOLEV SPACES
    GOSSEZ, JP
    [J]. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1986, 45 : 455 - 462
  • [7] Eigenvalue problems in anisotropic Orlicz-Sobolev spaces
    Mihailescu, Mihai
    Morosanu, Gheorghe
    Radulescu, Vicentiu
    [J]. COMPTES RENDUS MATHEMATIQUE, 2009, 347 (9-10) : 521 - 526
  • [8] HOMOGENEOUS EIGENVALUE PROBLEMS IN ORLICZ-SOBOLEV SPACES
    Bonder, Julian Fernandez
    Salort, Ariel
    Vivas, Hernan
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2024, 63 (02) : 429 - 453
  • [9] ON A ROBIN PROBLEM IN ORLICZ-SOBOLEV SPACES
    Avci, Mustafa
    Suslu, Kenan
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (02): : 246 - 256
  • [10] HOLDER-REGULARITY FOR THE SOLUTIONS OF STRONGLY NONLINEAR EIGENVALUE PROBLEMS ON ORLICZ-SOBOLEV SPACES
    VUILLERMOT, PA
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 1987, 13 (02): : 281 - 287
12345