Nonlinear Eigenvalues and Bifurcation  Problems for Pucci's Operator

Quaas, Alexander; Esteban, Maria J.; Busca, Jérôme

Quaas, Alexander; Esteban, Maria J.; Busca, Jérôme (2005), Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator, Annales de l'Institut Henri Poincaré. Analyse non linéaire, 22, 2, p. 187-206. http://dx.doi.org/10.1016/j.anihpc.2004.05.004

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00002868/en/

Date

2005

Journal name

Annales de l'Institut Henri Poincaré. Analyse non linéaire

Volume

Number

Publisher

Elsevier

Pages

187-206

Abstract (EN)

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 equations involving Pucci's operators.

Subjects / Keywords

elliptic; fully nonlinear; eigenvalues; semilinear; bifurcation; Pucci's operator