On the Dirichlet problem associated with the Dunkl Laplacian
Volume 117 / 2016
Annales Polonici Mathematici 117 (2016), 79-87
MSC: Primary 31B05; Secondary 35J10.
DOI: 10.4064/ap3751-12-2015
Published online: 9 May 2016
Abstract
This paper deals with the questions of the existence and uniqueness of a solution to the Dirichlet problem associated with the Dunkl Laplacian $\Delta _k$ as well as the hypoellipticity of $\Delta _k$ on noninvariant open sets.