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The best constant in a trace inequality in H 1
Journal article   Peer reviewed

The best constant in a trace inequality in H 1

Weimin Han
Numerical Functional Analysis and Optimization, Vol.11(7-8), pp.763-768
01/01/1990
DOI: 10.1080/01630569008816400

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Abstract

The best possible constant in the trace inequality is shown to be given by a quantity in terms of the solution of an elliptic boundary value problem, where, Ω ⊂ R N is a Lipschitz domain, Γ 1 is a measurable subset of ∂Ω, and k > 0 is fixed.

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