Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces

被引：49

作者：

Bonanno, Gabriele ^{[4
]}

Bisci, Giovanni Molica ^{[3
]}

Radulescu, Vicentiu ^{[1
,2
]}

机构：

[1] Univ Craiova, Dept Math, Craiova 200585, Romania

[2] Acad Romana, Inst Math Simion Stoilow, Bucharest 014700, Romania

[3] Univ Reggio Calabria, Dept PAU, Architecture Fac, I-89100 Reggio Di Calabria, Italy

[4] Univ Messina, Fac Engn, Math Sect, Dept Sci Engn & Architecture, I-98166 Messina, Italy

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 5-6期

关键词：

D O I：

10.1016/j.crma.2011.02.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Neumann problem - div(alpha(vertical bar del u vertical bar)del u) + alpha(vertical bar u vertical bar)u = lambda f (x, u) in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-N, lambda is a positive parameter, f is a continuous function, and alpha is a real-valued mapping defined on (0, infinity). The main result in this Note establishes that for all lambda in a prescribed open interval, this problem has infinitely many solutions that converge to zero in the Orlicz-Sobolev space (WL Phi)-L-1(Omega). (C) 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：263 / 268

页数：6

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