“…Actually, several works on equations (4) and (5) have extended the result of Brezis and Merle, showing that, under the crucial assumption that the prescribed curvatures K k converge in C 0 , the amount of curvature concentrating at each point is a multiple of 4π, i.e., a multiple of the total Gaussian curvature of S 2 ; see, e.g., [Li and Shafrir 1994]. (Also, higher-dimensional extensions were studied under the same strong assumptions of convergence of K k in C 0 or even C 1 ; see, e.g., [Druet and Robert 2006;Malchiodi 2006;Martinazzi 2009b]. ) In [Brezis and Merle 1991] the functions K k can belong to L p ,)ޒ( with 1 < p ≤ +∞.…”