The 12 invited lectures and 26 contributed papers cover a wide range of potential theory, from classical to nonlinear. Among the topics are the Dirichlet and Neumann problems, Martin compactification, Choquet theory, and the applications to probability theory and other branches …
Nonlinear potential theory on metric spaces
"This monograph aims at giving a presentation of recent and new ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. In particular, this book is concerned with geometric pr…
The subject of this book is the interplay between function space theory and potential theory. A crucial step in classical potential theory is the identification of the potential energy of a charge with the square of a Hilbert space norm. This leads to the Dirichlet space of loca…
