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LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY

PENGFEI GUAN

Department of Mathematics and Statistics, McGill University, Montreal, H3A 2K6, Canada

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CHANG-SHOU LIN

Department of Mathematics, National Taiwan University, Taipei, Taiwan, R.O.C.

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, and

GUOFANG WANG

Faculty of Mathematics, University Magdeburg, D-39016, Magdeburg, Germany

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https://doi.org/10.1142/S0129167X07004060Cited by:6 (Source: Crossref)

Abstract

In this paper, we extend the local gradient estimates established in [8, 10] to the conformal quotient equations. An existence of solutions of the conformal quotient equations follows from the local gradient estimates and the paper [14] of Gursky and Viaclovsky.

Keywords:

AMSC: 53C21, 35J60, 53C20, 58J60

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