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The best constant in a sobolev inequality
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The best constant in a sobolev inequality

Weimin Han
Applicable Analysis, Vol.41(1-4), pp.203-208
04/01/1991
DOI: 10.1080/00036819108840025

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Abstract

The best constant in the Sobolev inequality is shown to be given by a quantity in terms of the solution of an elliptic boundary value problem, where, j is a measurable open subset, with a positive measure, and Some examples are presented with either an analytic expression or a numerical value for the best constant.
Sobolev inequality elliptic boundary value problem Best constant

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