Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator

In this paper, we propose a method for estimating the Sobolev-type embedding constant from W 1 , q ( Ω ) to L p ( Ω ) on a domain Ω ⊂ R n ( n = 2 , 3 , … ) with minimally smooth boundary (also known as a Lipschitz domain), where p ∈ ( n / ( n − 1 ) , ∞ ) and q = n p / ( n + p ) . We estimate the emb...

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Veröffentlicht in:	Journal of inequalities and applications 2015-12, Vol.2015 (1), p.1-23, Article 389
Hauptverfasser:	Tanaka, Kazuaki, Sekine, Kouta, Mizuguchi, Makoto, Oishi, Shin’ichi
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Constants Estimates Estimating Inequalities Mathematics Mathematics and Statistics Norms Operators Recent Developments of Integral Inequalities and its Applications Smooth boundaries Texts
Online-Zugang:	Volltext
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