Nonlinear eigenvalues and bifurcation problems for Pucci's operators

被引：80

作者：

Busca, J

Esteban, MJ ^{[1
]}

Quaas, A

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris, France

[2] Univ Tecn Federico Santa Maria, Dept Matemat, Valparaiso, Chile

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2005年 / 22卷 / 02期

关键词：

D O I：

10.1016/j.anihpc.2004.05.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem. This allows us to solve nonlinear equations involving Pucci's operators. (c) 2005 Elsevier SAS. All rights reserved.

引用

页码：187 / 206

页数：20

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