Stationary biharmonic maps from Rm into a Riemannian manifold

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Regularity of polyharmonic maps in the critical dimension (2009, background): “Moreover, he also proves [24] that stationary extrinsically biharmonic maps from IR are smooth outside a closed singular set of vanishing (m − 4)dimensional Hausdorff measure.”
Partial regularity for biharmonic maps, revisited (2008, result): “In particular, we show the following result which improves the pioneering work of Chang et al. [3] and the later results by Wang [14] and Strzelecki [10] in this regard.”
Conservation Laws for Fourth Order Systems in Four Dimensions (2006, methodology): “The regularity of solutions of special cases of (1.12) was first studied by Wang (2004a).”
Biharmonic maps and morphisms from conformal mappings (2008, background): “The regularity of both types of biharmonic maps has been extensively studied in [6, 19, 20, 21].”