Mizuguchi, Makoto; Tanaka, Kazuaki; Sekine, Kouta; Oishi, Shin’ichi Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains. (English) Zbl 1386.46036 J. Inequal. Appl. 2017, Paper No. 299, 18 p. (2017). MSC: 46E35 PDFBibTeX XMLCite \textit{M. Mizuguchi} et al., J. Inequal. Appl. 2017, Paper No. 299, 18 p. (2017; Zbl 1386.46036) Full Text: DOI arXiv
Tanaka, Kazuaki; Sekine, Kouta; Mizuguchi, Makoto; Oishi, Shin’ichi Sharp numerical inclusion of the best constant for embedding \(H_0^1(\Omega) \hookrightarrow L^p(\Omega)\) on bounded convex domain. (English) Zbl 1382.65149 J. Comput. Appl. Math. 311, 306-313 (2017). MSC: 65J05 35P15 35A23 35J20 35J91 PDFBibTeX XMLCite \textit{K. Tanaka} et al., J. Comput. Appl. Math. 311, 306--313 (2017; Zbl 1382.65149) Full Text: DOI arXiv
Tanaka, Kazuaki; Sekine, Kouta; Mizuguchi, Makoto; Oishi, Shin’ichi Estimation of Sobolev-type embedding constant on domains with minimally smooth boundary using extension operator. (English) Zbl 1346.46030 J. Inequal. Appl. 2015, Paper No. 389, 23 p. (2015). MSC: 46E35 PDFBibTeX XMLCite \textit{K. Tanaka} et al., J. Inequal. Appl. 2015, Paper No. 389, 23 p. (2015; Zbl 1346.46030) Full Text: DOI arXiv