Stratified Lie Groups and Potential Theory for their Sub-Laplacians

• Main Authors: Bonfiglioli, A. (Author), Lanconelli, E. (Author), Uguzzoni, F. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Topological groups.; Lie groups.; Partial differential equations.; Potential theory (Mathematics).; Partial Differential Equations.; Potential Theory.; Topological Groups, Lie Groups.

The existence, for every sub-Laplacian, of a homogeneous fundamental solution smooth out of the origin, plays a crucial role in the book. This makes it possible to develop an exhaustive Potential Theory, almost completely parallel to that of the classical Laplace operator. This book provides an exte...