Eigenfunctions for singular fully nonlinear equations in unbounded domains

被引：10

作者：

Birindelli, I. ^{[1
]}

Demengel, F. ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Rome, Italy

[2] Univ Cergy Pontoise, Cergy Pontoise, France

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2010年 / 17卷 / 06期

关键词：

MAXIMUM PRINCIPLE; ELLIPTIC-OPERATORS; DIRICHLET PROBLEM; EIGENVALUE; BIFURCATION;

D O I：

10.1007/s00030-010-0077-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence of a generalized eigenvalue and a corresponding eigenfunction for fully nonlinear elliptic operators singular or degenerate, homogeneous of degree 1+alpha, alpha > -1 in unbounded domains of IRN The main tool will be Harnack's inequality

引用

页码：697 / 714

页数：18

共 27 条

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Berestycki H, 2006, J EUR MATH SOC, V8, P195

[2] THE PRINCIPAL EIGENVALUE AND MAXIMUM PRINCIPLE FOR 2ND-ORDER ELLIPTIC-OPERATORS IN GENERAL DOMAINS [J].