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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
96/2003

Application of The Method of Moving Planes to Conformally Invariant Equations

Pengfei Guan, Chang-Shou Lin and Guofang Wang

Abstract

In this paper, we apply the method of moving planes to a class of fully nonlinear conformal equations on locally conformally flat manifolds. The Harnack inequality, global estimates and hence existence are obtained for solutions. As an application, we obtain a sphere theorem.

Received:
Nov 25, 2003
Published:
Nov 25, 2003
MSC Codes:
53C21, 35J60, 58E11
Keywords:
moving plane method, harnack inequality, fully nonlinear equation, locally conformally flat, sphere theorem

Related publications

inJournal
2004 Repository Open Access
Pengfei Guan, Chang-Shou Lin and Guofang Wang

Application of the method of moving planes to conformally invariant equations

In: Mathematische Zeitschrift, 247 (2004) 1, pp. 1-19