[Authors]
 Nazarov, A. I.; Poborchi, S. V.

[Title]
 On the necessary conditions of the Poincare inequality

[AMS Subj-class]
 26D10 Inequalities involving derivatives and differential and integral operators

[Abstract]
 We show that the Poincar\'{e} inequality in a domain $\Omega$ implies $|\Omega|<\infty$.

[Comments]
 LaTeX, Russian, 3 pp.

[Contact e-mail]
 al.il.nazarov@gmail.com