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Refined Asymptotic Estimates for Conformal Scalar Curvature Equation via Moving Sphere Method

✍ Scribed by Lei Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
213 KB
Volume
192
Category
Article
ISSN
0022-1236

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✦ Synopsis

In this paper, we use the so-called moving sphere method to give local estimates of a positive singular solution u near its singular set Z of the conformal scalar curvature equation

( where O ' B 2 is an open bounded subset of R n , n53; KðxÞ is a continuous function defined on O and Z is a compact subset of O with Newtonian capacity zero. Under some flatness assumptions on K we show that uðxÞdðx; ZÞ ðnÀ2Þ=2 4C.

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✍ Chiun-Chuan Chen; Chang-Shou Lin 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 413 KB

In this paper we derive a local estimate of a positive singular solution u near its singular set Z of the conformal scalar curvature equation where K(x) is a positive continuous function, Z is a compact subset of Ω, and g satisfies that Assuming that the order of flatness at critical points of K o