Work

Large critical exponents for some second order uniformly elliptic operators

Year: 2005

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0510629

Authors: Esteban, Maria J., Felmer, Patricio, Quaas, Alexander

Institutions: Centre de Recherche en Mathématiques de la Décision, Universidad Técnica Federico Santa María

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2951176005

Cites: 11

Cited by: 1

Related to: 10