Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains

2008 ◽  
Vol 1 (2) ◽  
Author(s):  
John L. Lewis ◽  
Kaj Nyström
Keyword(s):  
Harmonic Functions ◽  
Lipschitz Domains ◽  
Boundary Behaviour

A boundary estimate for harmonic functions

1982 ◽  
Vol 91 (1) ◽  
pp. 79-90 ◽  
Author(s):  
P. J. Rippon
Keyword(s):  
Euclidean Space ◽  
Harmonic Functions ◽  
Conformal Mappings ◽  
Dimensional Euclidean Space ◽  
Boundary Behaviour ◽  
Boundary Estimate ◽  
Distortion Theorems

In this paper we extend to certain domains in m-dimensional Euclidean space Rm, m ≥ 3, some results about the boundary behaviour of harmonic functions which, in R2, are known to follow from distortion theorems for conformal mappings.

A Note on the Boundary Behaviour of Harmonic Functions

1992 ◽  
Vol s2-46 (2) ◽  
pp. 295-300 ◽  
Author(s):  
J. L. Fernández ◽  
J. G. Llorente
Keyword(s):  
Harmonic Functions ◽  
Boundary Behaviour
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