Abstract
For a domain Ω⊂R 4 and a compact Riemannian manifold N⊂R k without boundary, if u∈W 2,2(Ω,N) is an extrinsic (or intrinsic, respectively) biharmonic map, then u∈C ∞(Ω,N).
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in final form: 1 August 2003
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Wang, C. Biharmonic maps from R 4 into a Riemannian manifold. Math. Z. 247, 65–87 (2004). https://doi.org/10.1007/s00209-003-0620-1
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DOI: https://doi.org/10.1007/s00209-003-0620-1