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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 221, Pages 5–19
(Mi znsl4292)
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This article is cited in 7 scientific papers (total in 7 papers)
On the behavior of free boundaries near the boundary of the domain
D. E. Apushkinskayaa, N. N. Uraltsevab a St. Petersburg State University of Architecture and Civil Engineering
b Saint-Petersburg State University
Abstract:
Let $u$ be a solution of the obstacle problem $u\ge0$, $-\Delta u+f\ge0$, $u(-\Delta u+f)=0$ in a domain $\Omega\subset\mathbb R^n$. In this paper, the behaviour of the free boundary in a neighborhood of $\partial\Omega$ is studied. It is proved that under some conditions the free boundary touches $\partial\Omega$ at contact points. Bibliography: 4 titles.
Received: 20.04.1995
Citation:
D. E. Apushkinskaya, N. N. Uraltseva, “On the behavior of free boundaries near the boundary of the domain”, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Zap. Nauchn. Sem. POMI, 221, POMI, St. Petersburg, 1995, 5–19; J. Math. Sci. (New York), 87:2 (1997), 3267–3276
Linking options:
https://www.mathnet.ru/eng/znsl4292 https://www.mathnet.ru/eng/znsl/v221/p5
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Abstract page: | 192 | Full-text PDF : | 60 |
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