Title of article :
The Perron method for p-harmonic functions in metric spaces
Author/Authors :
Anders Bj?rn، نويسنده , , Jana Bj?rn، نويسنده , , Nageswari Shanmugalingam، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2003
Pages :
32
From page :
398
To page :
429
Abstract :
We use the Perron method to construct and study solutions of the Dirichlet problem for p-harmonic functions in proper metric measure spaces endowed with a doubling Borel measure supporting a weak (1,q)-Poincaré inequality (for some 1 q
Keywords :
Metric space , Dirichlet problem , Perron solution , Sobolev function , p-harmonic , Nonlinear
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year :
2003
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number :
750553
Link To Document :
