English

On positive viscosity solutions of fractional Lane-Emden systems

Analysis of PDEs 2017-06-06 v7

Abstract

We discuss on existence, nonexistence and uniqueness of positive viscosity solutions for Lane-Emden systems involving the fractional Laplacian on bounded domains. As a byproduct, we obtain the critical hyperbole associated to the these systems.

Keywords

Cite

@article{arxiv.1509.01267,
  title  = {On positive viscosity solutions of fractional Lane-Emden systems},
  author = {Edir Leite and Marcos Montenegro},
  journal= {arXiv preprint arXiv:1509.01267},
  year   = {2017}
}