Weak density of smooth maps for the Dirichlet energy between manifolds

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Topology of sobolev mappings, II (2003, background): “It follows from [5], which is based on an important local result in [12], that we may find a sequence ui ∈ C∞ (D (M) , N) such that ui ⇀ u in W 1,2 (M,N), dui → du a.”
Sobolev Mappings between Manifolds and Metric Spaces (2009, background): “We do not discuss this topic here and refer the reader to [26, 36, 37, 39, 40, 66, 67].”
Orientability and Energy Minimization in Liquid Crystal Models (2010, background): “ constants that depend only on p. For p<2 there exist line ﬁelds for which there is no lifting. Proof. The case p≥ 2. Let us recall the following result of M. Pakhzad and T. Rivi`ere: Proposition ([28], p.225) Let M,Nbe compact smooth manifolds, with Msimply connected. For u∈ W1,2(M,N) there exis”
On the Sobolev Space of Isometric Immersions (2004, unknown): “50 M.R. PAKZAD this space [3], [4], [11], [ 27 ] and [12].”