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n / p -harmonic maps: Regularity for the sphere case

2012/02/06 by Francesca Da Lio, Armin Schikorra
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.1515/acv-2012-0107

arxiv created 2012/02/06 · openalex publication_date 2012/10/11 · arxiv updated 2013/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Abstract. We introduce n / -harmonic maps as critical points of the energy where pointwise , for the N -sphere and . This energy combines the non-local behaviour of the fractional harmonic maps introduced by Rivière and the first author with the degenerate arguments of the n -Laplacian. In this setting, we will prove Hölder continuity.

Citations