The symmetry/asymmetry of functions providing sharp constants in the embedding theorems for various r and k is studied. The sharp constants for all r > k in the cases k = 4 and k = 6 are calculated explicitly as well. Bibliography: 16 titles.
Original languageEnglish
Pages (from-to)779-786
JournalJournal of Mathematical Sciences
Volume210
Issue number6
Early online date3 Oct 2015
DOIs
StatePublished - 2015

    Research areas

  • Sobolev inequality, Integral Inequality, Piecewise Constant Function, Good Constant, Sobolev Class

ID: 5792396