Uniqueness of the First Eigenfunction for Fully Nonlinear Equations: the Radial Case

被引：4

作者：

Birindelli, I. ^{[1
]}

Demengel, F. ^{[2
]}

机构：

[1] Univ Roma La Sapienza, Dept Math, Rome, Italy

[2] Univ Cergy Pontoise, Lab Anal Geometrie & Applicat, Cergy Pontoise, France

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2010年 / 29卷 / 01期

关键词：

Eigenvalue; fully-nonlinear elliptic operators; comparison principle; PRINCIPAL EIGENVALUE; VISCOSITY SOLUTIONS; MAXIMUM PRINCIPLE; OPERATOR; BIFURCATION; SIMPLICITY; EXISTENCE;

D O I：

10.4171/ZAA/1398

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The concept of eigenvalue has recently been extended to a large class of fully-nonlinear operators, here for fully-nonlinear operators in non divergence form that present singularities and degeneracies similar to the p-Laplacian we prove that in the radial case the eigenfunction is simple.

引用

页码：77 / 90

页数：14

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