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Russian Mathematical Surveys, 2022, Volume 77, Issue 2, Pages 189–249
DOI: https://doi.org/10.1070/RM10049 (Mi rm10049) 		 
This article is cited in 15 scientific papers (total in 15 papers)

The normal derivative lemma and surrounding issues

D. E. Apushkinskayaab, A. I. Nazarovcb

a RUDN University
b St Petersburg State University
c St Petersburg Department of the Steklov Mathematical Institute of Russian Academy of Sciences
English version PDF (1177 kB) Citations (15)
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DOI: https://doi.org/10.1070/RM10049
Abstract: In this survey we describe the history and current state of one of the key areas in the qualitative theory of elliptic partial differential equations related to the strong maximum principle and the boundary point principle (normal derivative lemma).
Bibliography: 234 titles.
Keywords: strong maximum principle, normal derivative lemma, Hopf–Oleinik lemma, Harnack inequality, Aleksandrov–Bakelman maximum principle.
Funding agency Grant number
Russian Foundation for Basic Research 20-11-50059
This work was supported by the Russian Foundation for Basic Research (project no. 20-11-50059).
Received: 19.07.2021
Russian version:
Uspekhi Matematicheskikh Nauk, 2022, Volume 77, Issue 2(464), Pages 3–68
DOI: https://doi.org/10.4213/rm10049
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: Primary 35-02, 35B45, 35B50, 35J15; Secondary 35R05
Language: English
Original paper language: Russian
Citation: D. E. Apushkinskaya, A. I. Nazarov, “The normal derivative lemma and surrounding issues”, Uspekhi Mat. Nauk, 77:2(464) (2022), 3–68; Russian Math. Surveys, 77:2 (2022), 189–249
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:102
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