Article ID Journal Published Year Pages File Type
4615062 Journal of Mathematical Analysis and Applications 2015 20 Pages PDF
Abstract

In this paper, using techniques that exploit the symmetry presented by the solid torus we study the problem of determining both the best constants for the doubly homogeneous trace Sobolev inequality, which in the general case studied by Maggi and Villani in [16].

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Physical Sciences and Engineering Mathematics Analysis
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Doubly optimal homogeneous trace Sobolev inequality in a solid torus
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