scholarly journals Dirichlet problem at infinity for harmonic maps

2000 ◽  
Vol 18 (18) ◽  
pp. 1-71
Author(s):  
Daishi WATABE
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Maps ◽  
Dirichlet Problem At Infinity

On the Dirichlet problem for $$p$$ p -harmonic maps I: compact targets

2014 ◽  
Vol 177 (1) ◽  
pp. 307-322 ◽  
Author(s):  
Stefano Pigola ◽  
Giona Veronelli
Keyword(s):  
Dirichlet Problem ◽  
Harmonic Maps

scholarly journals Hermitian Harmonic Maps into Convex Balls

2007 ◽  
Vol 50 (1) ◽  
pp. 113-122 ◽  
Author(s):  
Zhen Yang Li ◽  
Xi Zhang
Keyword(s):  
Dirichlet Problem ◽  
Heat Flow ◽  
Harmonic Maps ◽  
Hermitian Manifold ◽  
Flow Method ◽  
Hermitian Manifolds ◽  
Compact Hermitian Manifold

AbstractIn this paper, we consider Hermitian harmonic maps from Hermitian manifolds into convex balls. We prove that there exist no non-trivial Hermitian harmonic maps from closed Hermitian manifolds into convex balls, and we use the heat flow method to solve the Dirichlet problem for Hermitian harmonic maps when the domain is a compact Hermitian manifold with non-empty boundary.

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