The best constant of Sobolev inequality corresponding to anti-periodic boundary value problem

DOI10.14232/ejqtde.2014.1.62zbMath1324.46046OpenAlexW115682238MaRDI QIDQ5251019

Jozef Kisel'ák

Publication date: 22 May 2015

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://www.math.u-szeged.hu/ejqtde/p3329.pdf

zbMATH Keywords

Green functionbest constantLyapunov-type inequalityEuler polynomial\(L^p\) Sobolev inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Green's functions for ordinary differential equations (34B27) Inequalities involving derivatives and differential and integral operators (26D10) Best constants in approximation theory (41A44)

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Lyapunov-type inequalities for fourth-order boundary value problems

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