Special Session 60: 

New distributional sense of Isolated singularities on Hardy equations

Huyuan Chen
Jiangxi Normal University
Peoples Rep of China
Co-Author(s):    Feng Zhou, Alexander Quaas
Abstract:
In this talk, we present some suitable distributional identities of the solutions for non-homogeneous elliptic equations involving the Hardy potentials and the fractional Laplacian. Qualitative properties of the solutions to the corresponding non-homogeneous problems are investigated by the distributional identities. We address some applications on the non-existence of some non-homogeneous problems with the Hardy potentials.