On the principal eigenvalue of elliptic operators in RN and applications

被引：0

作者：

Berestycki, H

Rossi, L

机构：

[1] CAMS, EHESS, F-75006 Paris, France

[2] Univ Sapienza Roma 1, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2006年 / 8卷 / 02期

关键词：

elliptic operators; principal eigenvalue; generalized principal eigenvalue in R-N; limit periodic operators;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two generalizations of the notion of principal eigenvalue for elliptic operators in RN are examined in this paper. We prove several results comparing these two eigenvalues in various settings: general operators in dimension one; self-adjoint operators; and "limit periodic" operators. These results apply to questions of existence and uniqueness for some semilinear problems in the whole space. We also indicate several outstanding open problems and formulate some conjectures.

引用

页码：195 / 215

页数：21

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