Existence of bubbling solutions without mass concentration
Journal
Annales de l'Institut Fourier
Journal Volume
69
Journal Issue
2
Pages
895-940
Date Issued
2019
Author(s)
Abstract
The seminal work by Brezis and Merle has been pioneering in studying the bubbling phenomena of the mean field equation with singular sources. When the vortex points are not collapsing, the mean field equation possesses the property of the so-called “bubbling implies mass concentration”. Recently, Lin and Tarantello pointed out that the “bubbling implies mass concentration” phenomena might not hold in general if the collapse of singularities occurs. In this paper, we shall construct the first concrete example of non-concentrated bubbling solution of the mean field equation with collapsing singularities.
SDGs
Type
journal article