A sharp Sobolev trace inequality of order four on three-balls

2024/03/01 by Chen, Xuezhang, Zhang, Shihong
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.00380

Abstract

We establish a fourth order sharp Sobolev trace inequality on three-balls, and its equivalence to a third order sharp Sobolev inequality on two-spheres.

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