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

2019 ◽  
Vol 301 (2) ◽  
pp. 467-487 ◽  
Author(s):  
Xiaoshang Jin
Keyword(s):  
Boundary Regularity ◽  
Weyl Curvature ◽  
Hyperbolic Metrics ◽  
Asymptotically Hyperbolic

Shear-free perfect fluids with divergence free magnetic Weyl curvature

2008 ◽  
Vol 30 ◽  
pp. 241-244
Author(s):  
N. Van den Bergh ◽  
H. Reza Karimian
Keyword(s):  
Weyl Curvature ◽  
Perfect Fluids ◽  
Divergence Free

scholarly journals Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

2019 ◽  
Vol 7 (1) ◽  
pp. 179-196
Author(s):  
Anders Björn ◽  
Daniel Hansevi
Keyword(s):  
Harmonic Functions ◽  
Obstacle Problem ◽  
Metric Spaces ◽  
Local Property ◽  
Boundary Regularity ◽  
Obstacle Problems ◽  
Regular Boundary ◽  
Complete Metric Spaces ◽  
Regularity Results

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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