Title of article
Nonlinear balayage on metric spaces Original Research Article
Author/Authors
Anders Bj?rn، نويسنده , , Jana Bj?rn، نويسنده , , Tero M?k?l?inen، نويسنده , , Mikko Parviainen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
19
From page
2153
To page
2171
Abstract
We develop a theory of balayage on complete doubling metric measure spaces supporting a Poincaré inequality. In particular, we are interested in continuity and pp-harmonicity of the balayage. We also study connections to the obstacle problem. As applications, we characterize regular boundary points and polar sets in terms of balayage.
Keywords
Superharmonic , Balayage , Boundary regularity , continuity , Doubling measure , metric space , obstacle problem , Perron solution , Polar set , pp-harmonic , Potential theory , Poincaré inequality , Nonlinear
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861344
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