Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator
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 publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00002868/en/Date
2005Journal name
Annales de l'Institut Henri Poincaré. Analyse non linéaireVolume
22Number
2Publisher
Elsevier
Pages
187-206
Publication identifier
Metadata
Show full item recordAbstract (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 operatorRelated items
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