Boggio's formula for fractional polyharmonic Dirichlet problems
Analysis of PDEs
2016-10-11 v2
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.
Cite
@article{arxiv.1606.03110,
title = {Boggio's formula for fractional polyharmonic Dirichlet problems},
author = {Serena Dipierro and Hans-Christoph Grunau},
journal= {arXiv preprint arXiv:1606.03110},
year = {2016}
}
Comments
Ann. Mat. Pura Appl. (to appear)