On the behavior of free boundaries near the boundary of the domain期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On the behavior of free boundaries near the boundary of the domain

Authors:	D E Apushkinskaya N N Uraltseva

Abstract:	Let u be a solution to the obstacle problem $u \geqslant 0, - \Delta u + f \geqslant 0,u( - \Delta u + f) = 0$ in a domain Ω⊂ℝⁿ. In this paper, the behavior of the free boundary in a neighborhood of ϖΩ is studied. It is proved that under some conditions the free boundary touches ϖΩ at contact points. Bibliography:4 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 221, 1995, pp. 5–19. Translated by T. N. Rozhkovskaya.

Keywords:
本文献已被 SpringerLink 等数据库收录！