Singular limits in Liouville-type equations

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Desingularization of Vortices for the Euler Equation (2009, background): “[18] on the equation − u = ε2 K (x)eu for which the energy concentrates in small balls around points x 1, .”
Bubbling solutions for an anisotropic Emden–Fowler equation (2006, methodology): “Réciproquement, des solutions explosives ont été construites (voir [2,5,7]).”
Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity (2006, unknown): “More recently these results were extended, with applications to the Chern–Simons vortex theory in mind, by Esposito [5] and Del Pino, Kowalczyk and Musso [4] to handle equations of the form where V is a nonconstant (positive) function.”
Nondegeneracy of entire solutions of a singular Liouvillle equation (2012, methodology): “This property has been used for instance in [1, 6, 9] to build solutions with multiple concentration points for the problem Δu+ ε(2)e = 0 in Ω, u = 0 on ∂Ω, as ε → 0 where Ω is a bounded domain in R(2).”
Multiple Blow-Up Phenomena for the Sinh-Poisson Equation (2012, unknown): “Moreover, we remark that our approach also simplifies the linear theory studied in [13] and [11].”