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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 publié
External document link
http://hal.archives-ouvertes.fr/hal-00012841/en/
Date
2007
Journal name
Communications in Partial Differential Equations
Volume
32
Number
4
Publisher
Routledge Taylor & Francis
Pages
543-556
Publication identifier
http://dx.doi.org/10.1080/03605300500394397
Metadata
Show full item record
Author(s)
Quaas, Alexander
Felmer, Patricio
Esteban, Maria J. cc
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

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