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Large critical exponents for some second order uniformly elliptic operators.

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Date
2007
Link to item file
http://hal.archives-ouvertes.fr/hal-00012841/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
critical exponent; Pucci's operators; Extremal operators
Journal issue
Communications in Partial Differential Equations
Volume
32
Number
4
Publication date
2007
Article pages
543-556
Publisher
Routledge Taylor & Francis
DOI
http://dx.doi.org/10.1080/03605300500394397
URI
https://basepub.dauphine.fr/handle/123456789/570
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Quaas, Alexander
Felmer, Patricio
Esteban, Maria J.
Type
Article accepté pour publication ou publié
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.

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