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Sbornik: Mathematics, 2000, Volume 191, Issue 2, Pages 307–315
DOI: https://doi.org/10.1070/sm2000v191n02ABEH000457 (Mi sm457) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Contact of a free boundary with a fixed boundary

N. N. Ural'tseva

Saint-Petersburg State University
English version PDF (346 kB) Citations (1)
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DOI: https://doi.org/10.1070/sm2000v191n02ABEH000457
Abstract: For a simple elliptic obstacle problem the behaviour of the free boundary is studied near its points of contact with the fixed boundary of the domain. An earlier result of the author on the $C^1$-regularity of the boundary $\partial\mathscr N$ of the non-coincidence set is refined. It is shown that the previously imposed Lipschitz condition on $\partial\mathscr N$ can be dispensed with.
Received: 28.10.1998
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 2, Pages 165–173
DOI: https://doi.org/10.4213/sm457
Bibliographic databases:
UDC: 517.9
MSC: Primary 35R35; Secondary 35J85
Language: English
Original paper language: Russian
Citation: N. N. Ural'tseva, “Contact of a free boundary with a fixed boundary”, Mat. Sb., 191:2 (2000), 165–173; Sb. Math., 191:2 (2000), 307–315
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v191/i2/p165
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:444
    Russian version PDF:243
    English version PDF:18
    References:55
    First page:3
     
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