Note on Friedrichs' inequality in \(N\)-star-shaped domains

DOI10.1016/j.jmaa.2015.10.046zbMath1342.26054OpenAlexW1831448276MaRDI QIDQ898870

Reinhard Farwig, Veronika Rosteck

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.10.046

zbMATH Keywords

Friedrichs inequalitystar-shaped domainsexplicit constants\(N\)-star-shaped domainshigher-order means

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Related Items (4)

Lipschitz continuity of probability kernels in the optimal transport framework ⋮ On how Poincaré inequalities imply weighted ones ⋮ The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition ⋮ Maximal regularity of the Stokes system with Navier boundary condition in general unbounded domains

Cites Work

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• Polynomial approximation on domains bounded by diffeomorphic images of graphs
• An optimal Poincaré inequality for convex domains
• A note on the Poincaré inequality for convex domains
• On Friedrichs--Poincaré-type inequalities
• A remark on optimal weighted Poincaré inequalities for convex domains
• Computable majorants of constants in the Poincaré and Friedrichs inequalities
• An optimal Poincaré inequality in $L^1$ for convex domains
• Best constants in Poincar\'e inequalities for convex domains
• On the Uniform Poincaré Inequality

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