The best constant of Sobolev inequality corresponding to Dirichlet-Neumann boundary value problem for $(-1)^M(d/dx)^{2M}$-Reference-Cited by-同舟云学术

The best constant of Sobolev inequality corresponding to Dirichlet-Neumann boundary value problem for $(-1)^M(d/dx)^{2M}$

Published:2009-11-01 Issue:3 Volume:39 Page:
ISSN:0018-2079
Container-title:Hiroshima Mathematical Journal
language:
Short-container-title:Hiroshima Math. J.

Author:

Yamagishi Hiroyuki

Publisher

Hiroshima University - Department of Mathematics

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference11 articles.

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2. 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.

3. Y.Kametaka, K.Watanabe, A.Nagai, H.Yamagishi and K.Takemura, The best constant of Sobolev inequality which correspond to a bending problem of a string with periodic boundary condition, Sci. Math. Jpn. e-2007 (2007), 283--300.

4. Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai and K.Takemura, Riemann zeta function, Bernoulli polynomials and the best constant of Sobolev inequality, Sci. Math. Jpn. e-2007 (2007), 63--89.

5. Y.Kametaka, H.Yamagishi, K.Watanabe, A.Nagai and K.Takemura, Riemann zeta function and the best constants of three series of Sobolev inequalities, Transactions of the Japan Society for Industrial and Applied Mathematics 18 (2008), 29--40 [in Japanese].

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