DOI

We study the question of the existence of the global minimum of the functional {Mathematical expression} over the set of functions {Mathematical expression} where Ω ⊂ℝn is a bounded domain, and a fixed function K(x,y)=K(y,x) belongs to L2(Ω×Ω). Such functionals arise in some mathematical models of economics and sociology. Bibliography: 6 titles.

Original languageEnglish
Pages (from-to)3323-3336
Number of pages14
JournalJournal of Mathematical Sciences
Volume77
Issue number4
DOIs
StatePublished - 1 Dec 1995

    Scopus subject areas

  • Mathematics(all)

ID: 42743157