Large critical exponents for some second order uniformly elliptic operators
Analysis of PDEs
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0510629,
title = {Large critical exponents for some second order uniformly elliptic operators},
author = {Maria J. Esteban and Patricio Felmer and Alexander Quaas},
journal= {arXiv preprint arXiv:math/0510629},
year = {2007}
}
Comments
To appear in Comm. in PDE