Mathematical Research Letters
Volume 22 (2015)
On a fractional Henon equation and applications
Pages: 1791 – 1804
We investigate some nonlocal equations in bounded domains for different kinds of operators with power nonlinearities. We prove an existence result in the spirit of an earlier work by W.-M. Ni. As an application, we prove the existence of solutions to nonlocal supercritical equations in the complement of a ball. We prove also some regularity results for higher order nonlocal equations, of independent interest.