The Best Constant of $L^p$ Sobolev Inequality Including $j$-th Derivative Corresponding to Periodic and Neumann Boundary Value Problem for $(-1)^M(d/dx)^{2M}$
Work
Year: 2014
Type: article
Abstract: In this paper, we study the best constant of $L^p$ Sobolev inequality including $j$-th derivative: \begin{align*} \sup_{0\leq y\leq 1}\big\vert u^{(j)}(y)\big\vert \leq C \Bigg(\int_0^1 \big|\,u^{(M)}... more
Source: Tokyo Journal of Mathematics
Authors Kohtaro Watanabe, Hiroyuki Yamagishi
Institutions Metropolitan College, College of Industrial Technology
Cites: 6
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Related to: 10
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Subfield: History
Field: Arts and Humanities
Domain: Social Sciences
Sustainable Development Goal Reduced inequalities
Open Access status: bronze