Nonlinear balayage on metric spaces
✍
Anders Björn; Jana Björn; Tero Mäkäläinen; Mikko Parviainen
📂
Article
📅
2009
🏛
Elsevier Science
🌐
English
⚖ 1019 KB
We develop a theory of balayage on complete doubling metric measure spaces supporting a Poincaré inequality. In particular, we are interested in continuity and p-harmonicity of the balayage. We also study connections to the obstacle problem. As applications, we characterize regular boundary points a