Infinite dimension of solutions of the Dirichlet problem

It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.

Bibliographic Details
Main Author: Ryazanov Vladimir
Format: Article
Language:English
Published: De Gruyter 2015-05-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2015-0034