Blowing up with infinite energy of conformal metrics on Sn
Journal
Communications in Partial Differential Equations
Journal Volume
24
Journal Issue
5-6
Pages
785-799
Date Issued
1999
Author(s)
Abstract
Abstract Let (Sn,g0) be the standard n-sphere. In this paper, we construct a sequence of conformal metricswith a given R ad their scalar curvature such that the energy of uj blows up as. We also construct sequence of gj with the given scalar curvature assuch that uj has a simultaneous concentraction of a given number of "bubbles" with the same concentraction centers. These examples show us that the blowing up behavior fo uj might be very complicated when the prescribled scalar curvature is a small perturbation of a positive constant.
SDGs
Type
journal article