Dependence of Friedrichs' constant on boundary integrals

Giles Auchmuty, Behrouz Emamizadeh, Mohsen Zivari

Research output: Journal PublicationArticlepeer-review

2 Citations (Scopus)


This note extends the results in 'Optimal coercivity inequalities in W 1,p(Ω)' (G. Auchmuty, Proc. R. Soc. Edinb. A 135, 915-933.) describing the dependence of the optimal constant in the p-version of Friedrichs' inequality on the boundary integral term. In particular, it is shown that this constant is continuous, increasing, concave and increases to the optimal constant for the Dirichlet problem as s → ∞.

Original languageEnglish
Pages (from-to)935-939
Number of pages5
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Issue number5
Publication statusPublished - 2005
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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