Moser, Roger2020-09-102020-09-102003-01-02Moser, R. (2003). An epsilon-regularity result for generalized harmonic maps into spheres. <i>Electronic Journal of Differential Equations, 2003</i>(01), pp. 1-7.1072-6691https://hdl.handle.net/10877/12568For 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalGeneralized harmonic mapsRegularityArticle