Large critical exponents for some second order uniformly elliptic operators.
Quaas, Alexander; Felmer, Patricio; Esteban, Maria J. (2007), Large critical exponents for some second order uniformly elliptic operators., Communications in Partial Differential Equations, 32, 4, p. 543-556. http://dx.doi.org/10.1080/03605300500394397
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00012841/en/Date
2007Journal name
Communications in Partial Differential EquationsVolume
32Number
4Publisher
Routledge Taylor & Francis
Pages
543-556
Publication identifier
Metadata
Show full item recordAbstract (EN)
In this paper we investigate the critical exponents of two families of Pucci's extremal operators. The notion of critical exponent that we have chosen for these fully nonlinear operators whihc are not variational is that of threshold betweeen existence and nonexistence of the solutions for semilinear equations with pure power nonlinearities. Interesting new exponents appear in this context.Subjects / Keywords
critical exponent; Pucci's operators; Extremal operatorsRelated items
Showing items related by title and author.
-
Superlinear elliptic equation for fully nonlinear operators without growth restrictions for the data Quaas, Alexander; Felmer, Patricio; Esteban, Maria J. (2010) Article accepté pour publication ou publié
-
Esteban, Maria J.; Felmer, Patricio; Quaas, Alexander (2010) Article accepté pour publication ou publié
-
Quaas, Alexander; Esteban, Maria J.; Busca, Jérôme (2005) Article accepté pour publication ou publié
-
Dolbeault, Jean; Felmer, Patricio; Monneau, Régis (2005) Article accepté pour publication ou publié
-
Tahraoui, Rabah (2006) Article accepté pour publication ou publié