Boggio's formula for fractional polyharmonic Dirichlet problems
arXiv:1606.03110
Abstract
Boggio's formula in balls is known for integer-polyharmonic Dirichlet problems and for fractional Dirichlet problems with fractional parameter less than 1. We give here a consistent formulation for fractional polyharmonic Dirichlet problems such that Boggio's formula in balls yields solutions also for the general fractional case.
Ann. Mat. Pura Appl. (to appear)