Prescribing scalar curvature on SN, Part 1: Apriori estimates
Journal
Journal of Differential Geometry
Journal Volume
57
Journal Issue
1
Pages
67-171
Date Issued
2001
Author(s)
Abstract
In this paper, we describe great details of the bubbling behavior for a sequence of solutions wi of Lwi + Riwin+2/n−2 = 0 on Sn, where L is the conformal Laplacian operator of (Sn, g0) and Ri = n(n−2)+ tiRþ, Rþ ∈ C1(Sn). As ti ↓ 0, we prove among other things the location of blowup points, the spherical Harnack inequality near each blowup point and the asymptotic formulas for the interaction of different blowup points. This is the first step toward computing the topological degree for the nonlinear PDE. © 2001 Applied Probability Trust.
Type
journal article