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.