Large critical exponents for some second order uniformly elliptic operators.

Quaas, Alexander; Felmer, Patricio; Esteban, Maria J.

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 publié

External document link

http://hal.archives-ouvertes.fr/hal-00012841/en/

Date

2007

Journal name

Communications in Partial Differential Equations

Volume

Number

Publisher

Routledge Taylor & Francis

Pages

543-556

Abstract (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 operators