An Epsilon-regularity result for Generalized Harmonic Maps into Spheres

Date

2003-01-02

Authors

Moser, Roger

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

For m, n ≥ 2 and 1 < p < 2, we prove that a map u ∈ W1,p loc (Ω, Sn-1) from an open domain Ω ⊂ ℝm into the unit (n - 1)-sphere, which solves a generalized version of the harmonic map equation, is smooth, provided that 2 - p and [u] BMO(Ω) are both sufficiently small. This extends a result of Almeida [1]. The proof is based on an inverse Hölder inequality technique.

Description

Keywords

Generalized harmonic maps, Regularity

Citation

Moser, R. (2003). An epsilon-regularity result for generalized harmonic maps into spheres. <i>Electronic Journal of Differential Equations, 2003</i>(01), pp. 1-7.

Rights

Attribution 4.0 International

Rights Holder

Rights License