A Harnack-Type Inequality for a Prescribing Curvature equation on a Domain with Boundary

2013/09/04 by Mathew Gluck, Ying Guo, Gluck, Mathew +3
Mathematics · #35J60 35J55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J55 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1309.1135

31 pages

arxiv created 2013/09/04 · arxiv updated 2013/09/05

Abstract

In this paper we consider a class of prescribing curvature type equations on half Euclidean balls. Under suitable assumptions on the scalar curvature function and boundary mean curvature function we prove a min-max type inequality and the corresponding energy estimates.

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