Weak monotonicity inequality and partial regularity for harmonic maps

Yaotian Shen; Shusen Yan

doi:10.1007/bf02874254

Weak monotonicity inequality and partial regularity for harmonic maps

Science in China Series A Mathematics ◽

10.1007/bf02874254 ◽

1999 ◽

Vol 42 (4) ◽

pp. 357-366

Author(s):

Yaotian Shen ◽

Shusen Yan

Keyword(s):

Partial Regularity ◽

Harmonic Maps ◽

Weak Monotonicity ◽

Monotonicity Inequality

The Evolution of Harmonic Maps: Existence, Partial Regularity, and Singularities

Nonlinear Diffusion Equations and Their Equilibrium States, 3 ◽

10.1007/978-1-4612-0393-3_33 ◽

1992 ◽

pp. 485-491 ◽

Cited By ~ 2

Author(s):

Michael Struwe

Keyword(s):

Partial Regularity ◽

Harmonic Maps

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

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2012-05780-1 ◽

2012 ◽

Vol 365 (6) ◽

pp. 3329-3353 ◽

Cited By ~ 26

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

Asymptotic Analysis ◽

10.3233/asy-1989-2403 ◽

1989 ◽

Vol 2 (4) ◽

pp. 299-343 ◽

Cited By ~ 14

Author(s):

Frank Duzaar ◽

Klaus Steffen

Keyword(s):

Free Boundary ◽

Partial Regularity ◽

Harmonic Maps ◽

Regularity Theorem

Partial Regularity for Harmonic Maps and Related Problems

10.1142/5691 ◽

2005 ◽

Cited By ~ 24

Author(s):

Roger Moser

Keyword(s):

Partial Regularity ◽

Harmonic Maps

Partial regularity of energy minimizing harmonic maps into a complete manifold

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260050025 ◽

1995 ◽

Vol 3 (4) ◽

pp. 513-529

Author(s):

Ming Li

Keyword(s):

Partial Regularity ◽

Harmonic Maps ◽

Complete Manifold

Partial regularity results up to the boundary for harmonic maps into a Finsler manifold

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2009.05.001 ◽

2009 ◽

Vol 26 (5) ◽

pp. 1953-1970 ◽

Cited By ~ 1

Author(s):

Atsushi Tachikawa

Keyword(s):

Partial Regularity ◽

Harmonic Maps ◽

Finsler Manifold ◽

Regularity Results

Partial regularity for harmonic maps of evolution into spheres

Communications in Partial Differential Equations ◽

10.1080/03605309408821034 ◽

1994 ◽

Vol 19 (5-6) ◽

pp. 761-790 ◽

Cited By ~ 29

Author(s):

Mikhail Feldman

Keyword(s):

Partial Regularity ◽

Harmonic Maps

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

Journal of Geometric Analysis ◽

10.1007/s12220-021-00788-w ◽

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.

Partial regularity for harmonic maps and related problems

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.20205 ◽

2008 ◽

Vol 61 (4) ◽

pp. 451-463 ◽

Cited By ~ 44

Author(s):

Tristan Rivière ◽

Michael Struwe

Keyword(s):

Partial Regularity ◽

Harmonic Maps

Partial regularity of weakly stationary harmonic maps into a manifold with symmetries

Nonlinear Analysis ◽

10.1016/0362-546x(94)e0053-j ◽

1995 ◽

Vol 24 (3) ◽

pp. 433-440

Author(s):

Ming Jiang

Keyword(s):

Partial Regularity ◽

Harmonic Maps