On critical exponents for the Pucci's extremal operators

By Patricio Felmer, Alexander Quaas. 2003

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d8f4cf75221b45532647d5fbfca273ff194ac156

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alexander Quaas
2. Patricio Felmer
3. Boyan Sirakov
4. Simone Secchi
5. S. Armstrong
6. Enrico Valdinoci
7. Serena Dipierro

In Computational Theory and Mathematics

1. Alexander Quaas
2. Patricio Felmer
3. Boyan Sirakov
4. Simone Secchi
5. S. Armstrong
6. Enrico Valdinoci
7. Serena Dipierro

In Geometry and Topology

1. Alexander Quaas
2. Patricio Felmer

Citations in the corpus

• Positive radial solutions to a ‘semilinear’ equation involving the Pucci's operator (2004, background): “In [7], see also [6], we proved Theorem 1.”
• Fundamental solutions and liouville type theorems for nonlinear integral operators (2011, background): “We conjecture that there is a critical Sobolev type exponent with value between (N +2α)/(N −2α) and (N+ +2α)/ (N+ − 2α) for Λ > 1, that allows to classify the positive solutions, as in the case of the extremal Pucci operators, see [13].”