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We have decided to discontinue the publication of preprints on our preprint server end of 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.
Application of The Method of Moving Planes to Conformally Invariant Equations
Pengfei Guan, Chang-Shou Lin and Guofang WangAbstract
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:
- 25.11.03
- Published:
- 25.11.03
- MSC Codes:
- 53C21, 35J60, 58E11
- Keywords:
- moving plane method, harnack inequality, fully nonlinear equation, locally conformally flat, sphere theorem