scholarly journals Boundary regularity for asymptotically hyperbolic metrics with smooth Weyl curvature

2019 ◽  
Vol 301 (2) ◽  
pp. 467-487 ◽  
Author(s):  
Xiaoshang Jin
2006 ◽  
Vol 122 (1) ◽  
pp. 97-117 ◽  
Author(s):  
Yuguang Shi ◽  
Luen-Fai Tam

2008 ◽  
Vol 136 (11) ◽  
pp. 4003-4010 ◽  
Author(s):  
ZhenYang Li ◽  
YuGuang Shi ◽  
Peng Wu

2008 ◽  
Vol 30 ◽  
pp. 241-244
Author(s):  
N. Van den Bergh ◽  
H. Reza Karimian

2019 ◽  
Vol 7 (1) ◽  
pp. 179-196
Author(s):  
Anders Björn ◽  
Daniel Hansevi

Abstract The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞. The barrier classification of regular boundary points is established, and it is shown that regularity is a local property of the boundary. We also obtain boundary regularity results for solutions of the obstacle problem on open sets, and characterize regularity further in several other ways.


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