The best constant of the Lp Sobolev-type inequality corresponding to elliptic operator in RN-Reference-Cited by-同舟云学术

The best constant of the Lp Sobolev-type inequality corresponding to elliptic operator in RN

Published:2024-03-01 Issue:1 Volume:54 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Yamagishi Hiroyuki¹,Kametaka Yoshinori²

Affiliation:

1. Tokyo Metropolitan College of Industrial Technology 1-10-40 Higashi-oi, Shinagawa Tokyo 140-0011, Japan yamagisi@metro-cit.ac.jp

2. Faculty of Engineering Science, Osaka University 1-3 Machikaneyama-cho, Toyonaka 560-8531, Japan kametaka@sigmath.es.osaka-u.ac.jp

Publisher

Hiroshima University - Department of Mathematics

Reference29 articles.

1. [1] Y. Kametaka, A. Nagai, K. Watanabe, K. Takemura and H. Yamagishi, Giambelli’s formula and the best constant of Sobolev inequality in one dimensional Euclidean space, Sci. Math. Jpn., e-2009 (2009), 621–635.

2. [2] Y. Kametaka, Y. Oshime, K. Watanabe, H. Yamagishi, A. Nagai and K. Takemura, The best constant of $L^p$ Sobolev inequality corresponding to the periodic boundary value problem for $\left(-1\right)^M\left(d/dx\right)^{2M}$ , Sci. Math. Jpn., e-2007 (2007), 269–281.

3. [3] Y. Kametaka, K. Takemura, H. Yamagishi, A. Nagai and K. Watanabe, Heaviside cable, Thomson cable and the best constant of a Sobolev-type inequality, Sci. Math. Jpn., e-2007 (2007), 739–755.

4. [4] Y. Kametaka, K. Watanabe and A. Nagai, The best constant of Sobolev inequality in an $n$ dimensional Euclidean space, Proc. Japan Acad., 81, Ser. A, No. 3 (2005), 57–60.

5. [5] Y. Kametaka, K. Watanabe, A. Nagai and S. Pyatkov, The best constant of Sobolev inequality in an $n$ dimensional Euclidean space, Sci. Math. Jpn., e-2004 (2004), 295–303.