Inserted: 26 aug 2015
Last Updated: 26 aug 2015
Journal: Advances in Nonlinear Analysis
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.
Keywords: fractional systems, Brezis-Nirenberg problem