Prescribing scalar and boundary mean curvature on the three dimensional half sphere

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The prescribed boundary mean curvature problem on B4 (2004, background): “The proof of Proposition 2.6 and Lemma 2.7 below is omitted since it is similar to that of [ 13 ].”
Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary (2007, unknown): “Other works concerning conformal deformation on manifolds with boundary include [1], [4], [5], [8], [9], [11], [12], [13], [14] and [15].”
An existence theorem of conformal scalar-flat metrics on manifolds with boundary (2009, background): “Other works concerning conformal deformation on manifolds with boundary include [Ahmedou 2003; Ambrosetti et al. 2002; Ben Ayed et al. 2005; Brendle 2002; Djadli et al. 2003; 2004; Escobar 1992b; 1996a; Escobar and Garcia 2004; Felli and Ould Ahmedou 2003; 2005; Han and Li 1999; 2000] We will now di”