Large critical exponents for some second order uniformly elliptic operators

Details Large critical exponents for some second order uniformly elliptic operators Large critical exponents for some second order uniformly elliptic operators

2005-10-28

arxiv.org/abs/math/0510629v1

Mathematics

Analysis of PDEs

To appear in Comm. in PDE

Scientific paper

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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