On the asymptotic behavior of the principal eigenvalues of some elliptic problems

被引：8

作者：

Godoy, Tomas ^{[2
]}

Gossez, Jean-Pierre ^{[1
]}

Paczka, Sofia ^{[2
]}

机构：

[1] Univ Libre Bruxelles, Dept Math, B-1050 Brussels, Belgium

[2] Univ Nacl Cordoba, FaMAF, RA-5000 Cordoba, Argentina

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2010年 / 189卷 / 03期

关键词：

Nonself-adjoint elliptic problems; Principal eigenvalue; Indefinite weight; Minimax formula; Asymptotic behavior; Large drift; BOUNDARY-CONDITIONS; MAXIMUM PRINCIPLE; EXISTENCE; OPERATORS;

D O I：

10.1007/s10231-009-0120-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with nonself-adjoint elliptic problems involving indefinite weights and boundary conditions of the Dirichlet, Neumann or Robin type. We study the asymptotic behavior of the principal eigenvalues, when the first order term (drift term) becomes larger and larger. The basic results of Berestycki et al. (Commun. Math. Phys., 253:451-480, 2005) are extended to the present context. Moreover, answers are provided to some open problems raised in Berestycki et al. (Commun. Math. Phys., 253:451-480, 2005).

引用

页码：497 / 521

页数：25

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