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Sharp numerical inclusion of the best co...

Tanaka, Kazuaki...

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Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain by Tanaka, Kazuaki ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	18-03-2015
Summary	In this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding H10(Ω)↪Lp(Ω) on bounded convex domain in R2. We estimate the best constant by computing the corresponding extremal function using a verified numerical computation. Verified numerical inclusions of the best constant on a square domain are presented.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1503.05468

Citation

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AMA 11th EditionReferences

Tanaka, Kazuaki. Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain. N.A. March 18, 2015. Accessed October 03, 2025. https://online.provdatabase.com/cite/18447

APA 7th EditionReferences

Tanaka, Kazuaki. (2015). Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain. N.A. https://online.provdatabase.com/cite/18447

Chicago 17th EditionReferences

Tanaka, Kazuaki. Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain. N.A. 2015. https://online.provdatabase.com/cite/18447

HarvardReferences

Tanaka, Kazuaki. (2015). Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18447. (Accessed 03 October 2025).

Harvard AustraliaReferences

Tanaka, Kazuaki, 2015, Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain, N.A, viewed 03 October 2025, <https://online.provdatabase.com/cite/18447>

MLA 9th EditionWorks Cited

Tanaka, Kazuaki. Sharp numerical inclusion of the best constant for embedding $H_{0}^{1}(\Omega) \hookrightarrow L^{p}(\Omega)$ on bounded convex domain. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18447.

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