The Brezis-Nirenberg problem for nonlocal systems
Analysis of PDEs
2015-08-24 v1
Abstract
By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.
Cite
@article{arxiv.1508.05206,
title = {The Brezis-Nirenberg problem for nonlocal systems},
author = {Luiz Faria and Olimpio Miyagaki and Fabio Pereira and Marco Squassina and Chengxiang Zhang},
journal= {arXiv preprint arXiv:1508.05206},
year = {2015}
}
Comments
22 pages