Weak monotonicity inequality and partial regularity for harmonic maps

1999 ◽  
Vol 42 (4) ◽  
pp. 357-366
Author(s):  
Yaotian Shen ◽  
Shusen Yan
Keyword(s):  
Partial Regularity ◽  
Harmonic Maps ◽  
Weak Monotonicity ◽  
Monotonicity Inequality

scholarly journals Partial regularity of $p(x)$-harmonic maps

2012 ◽  
Vol 365 (6) ◽  
pp. 3329-3353 ◽  
Author(s):  
Maria Alessandra Ragusa ◽  
Atsushi Tachikawa ◽  
Hiroshi Takabayashi
Keyword(s):  
Partial Regularity ◽  
Harmonic Maps

A partial regularity theorem for harmonic maps at a free boundary

1989 ◽  
Vol 2 (4) ◽  
pp. 299-343 ◽  
Author(s):  
Frank Duzaar ◽  
Klaus Steffen
Keyword(s):  
Free Boundary ◽  
Partial Regularity ◽  
Harmonic Maps ◽  
Regularity Theorem

scholarly journals Partial Regularity for Harmonic Maps into Spheres at a Singular or Degenerate Free Boundary

2022 ◽  
Vol 32 (2) ◽  
Author(s):  
Roger Moser ◽  
James Roberts
Keyword(s):  
Free Boundary ◽  
Distance Function ◽  
Boundary Data ◽  
Partial Regularity ◽  
Harmonic Maps

AbstractWe prove partial regularity of weakly stationary harmonic maps with (partially) free boundary data on manifolds where the domain metric may degenerate or become singular along the free boundary at the rate $$d^\alpha $$ d α for the distance function d from the boundary.

scholarly journals Partial regularity for harmonic maps and related problems

2008 ◽  
Vol 61 (4) ◽  
pp. 451-463 ◽  
Author(s):  
Tristan Rivière ◽  
Michael Struwe
Keyword(s):  
Partial Regularity ◽  
Harmonic Maps
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