An ϵ-regularity result for generalized harmonic maps into spheres
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Submission date: 11. Dec. 2002
published in: Electronic journal of differential equations, 2003 (2003), p. 1-7 (electronic)
MSC-Numbers: 58E20, 35D10
Keywords and phrases: generalized harmonic maps, regularity
For and 1 < p < 2, we prove that a map from an open m-dimensional domain into the unit (n - 1)-sphere , which solves a generalized version of the harmonic map equation, is smooth, provided that 2 - p is sufficiently small, and u is small in the BMO-sense. The proof is based on an inverse Hölder inequality technique.