On a non-homogeneous eigenvalue problem involving a potential: An Orlicz-Sobolev space setting

被引：57

作者：

Mihailescu, Mihai ^{[1
,2
]}

Radulescu, Vicentiu ^{[1
,3
,4
]}

Repovs, Dusan ^{[5
,6
]}

机构：

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

[2] Cent European Univ, Dept Math, H-1051 Budapest, Hungary

[3] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania

[4] Inst Math Phys & Mech, Ljubljana 1001, Slovenia

[5] Univ Ljubljana, Fac Med, Ljubljana 1001, Slovenia

[6] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2010年 / 93卷 / 02期

关键词：

Eigenvalue problem; Orlicz-Sobolev space; Variable exponent Lebesgue space; Optimization problem; DIFFERENTIAL-OPERATORS; MULTIPLICITY; SPECTRUM;

D O I：

10.1016/j.matpur.2009.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a potential V. The problem is analyzed in the context of Orlicz-Sobolev spaces. Connected with this problem we also study the optimization problem for the particular eigenvalue given by the infimum of the Rayleigh quotient associated to the problem with respect to the potential V when V lies in a bounded, closed and convex subset of a certain variable exponent Lebesgue space. (C) 2009 Elsevier Masson SAS. All fights reserved.

引用

页码：132 / 148

页数：17

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