When ``blow-up does not imply ``concentration: a detour from Brézis-Merle's result

DOI10.1016/j.crma.2016.01.014zbMath1387.35310OpenAlexW2300071626MaRDI QIDQ1695395

Chang-Shou Lin, Grabriella Tarantello

Publication date: 7 February 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.01.014

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) PDEs on manifolds (35R01)

Related Items (15)

On the blow-up analysis at collapsing poles for solutions of singular Liouville-type equations ⋮ Asymptotics for minimizers of a Donaldson functional and mean curvature 1-immersions of surfaces into hyperbolic 3-manifolds ⋮ Uniqueness of bubbling solutions with collapsing singularities ⋮ Existence of bubbling solutions without mass concentration ⋮ On rank-2 Toda systems with arbitrary singularities: local mass and new estimates ⋮ Elliptic KdV potentials and conical metrics of positive constant curvature. I ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ Sharp estimates for solutions of mean field equations with collapsing singularity ⋮ Uniqueness of bubbling solutions of mean field equations ⋮ Blow-up solutions of Liouville's equation and quasi-normality ⋮ Analytical issues in the construction of self-dual Chern-Simons vortices ⋮ Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case ⋮ Degree counting for Toda system with simple singularity: one point blow up ⋮ Sharp estimate for the critical parameters of \(SU(3)\) Toda system with arbitrary singularities. I ⋮ Maximal solution of the Liouville equation in doubly connected domains

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