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

DOI10.32917/HMJ/1257544215zbMath1192.34026OpenAlexW1601925018MaRDI QIDQ845254

Hiroyuki Yamagishi

Publication date: 27 January 2010

Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32917/hmj/1257544215

zbMATH Keywords

Riemann zeta functionreproducing kernelGreen functionSobolev inequalityBernoulli polynomialbest constant

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Green's functions for ordinary differential equations (34B27)

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On sharp estimates of even-order derivatives in Sobolev spaces

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