C^1,α-Regularity of energy minimizing maps from a 2-dimentional domain into a Finsler space

2011/08/12 by Atsushi Tachikawa, Tachikawa, Atsushi
Mathematics · Physics and Astronomy · #53C60 #58E20 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Primary 49N60 #Secondary 35B65

paper · pdf · doi:10.48550/arxiv.1108.2540

openalex publication_date 2011/08/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show C^1,α-regularity for energy minimizing maps from a 2-dimensional Riemannian manifold into a Finsler space (\Rⁿ, F) with a Finsler structure F(u,X).

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