On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure

DOI10.1155/2007/34138zbMath1144.35357OpenAlexW2156851267WikidataQ59216456 ScholiaQ59216456MaRDI QIDQ2471976

Yu. O. Koroleva, Lars-Erik Persson, Gregory A. Chechkin

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129212

zbMATH Keywords

sharp constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

On the convergence of a nonlinear boundary-value problem in a perforated domain ⋮ On boundary value problem with singular inhomogeneity concentrated on the boundary ⋮ Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition ⋮ Operator estimates for the Steklov problem in an unbounded domain with rapidly changing conditions on the boundary ⋮ Unnamed Item ⋮ Plane scalar analog of linear degenerate hydrodynamic problem with nonperiodic microstructure of free surface ⋮ On the behavior of the spectrum of a perturbed Steklov boundary value problem with a weak singularity ⋮ On spectrum of the Laplacian in a circle perforated along the boundary: application to a Friedrichs-type inequality ⋮ On the Friedrichs inequality in a domain perforated aperiodically along the boundary. Homogenization procedure. Asymptotics for parabolic problems ⋮ Hardy's inequality for functions vanishing on a part of the boundary

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