Convergence for a Liouville equation

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A deformation lemma with an application to a mean field equation (2007, background): “If for example ∂Ω and T0 := ∆−1 D (T ) are of class C, the arguments of Ma-Wei [26], Brezis–Merle [7], Li–Shafrir [19] imply that the set of solutions to Problem (1.”
On the existence of blowing-up solutions for a mean field equation ? ? The first and second authors (2005, unknown): “[8,22,28]; see also [35,38]).”
Singular limits in Liouville-type equations (2005, background): “The proofs in [29,31] are actually for the case k ≡ 1 but, as pointed out in [27], they apply to the general case.”
Nonexistence of multi-bubble solutions to some elliptic equations on convex domains (2010, methodology): “Then by the result of Ma and Wei [18] (see also [3,17,20]), uλn blows up at l different points a1, . . . , al in Ω for some l ∈ N along a subsequence (which we denote again by λn), λn → 8πl, and (a1, . . . , al) must satisfy the characterization (2.5): 1 2 ( ∇R(ai) − 1 4π ∇ logV (ai) ) = l∑ j=1,j =i”
Bubbling solutions for an anisotropic Emden–Fowler equation (2006, background): “Quand N = 2, le comportement asymptotique des solutions de (2) quand ε tend vers 0 est caractérisé (voir [1,10,12, 8]) par celle de la quantité Tε = ε2 ∫”