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Matematicheskie Zametki, 2012, Volume 92, Issue 2, Pages 276–290
DOI: https://doi.org/10.4213/mzm8882 (Mi mzm8882) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Strong Maximum Principle for an Elliptic Operator on a Stratified Set

S. N. Oshchepkovaa, O. M. Penkina, D. Savasteev

a Belgorod State University
Full-text PDF (569 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8882
Abstract: We derive a necessary condition for an extremum for functions on stratified sets in terms of integrals of the normal derivative over spheres and use this condition to prove the strong maximum principle for the divergence operator on a stratified set.
Keywords: stratified set, extremum, necessary condition, divergence operator, strong maximum principle.
Received: 18.06.2010
English version:
Mathematical Notes, 2012, Volume 92, Issue 2, Pages 249–259
DOI: https://doi.org/10.1134/S0001434612070267
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: S. N. Oshchepkova, O. M. Penkin, D. Savasteev, “Strong Maximum Principle for an Elliptic Operator on a Stratified Set”, Mat. Zametki, 92:2 (2012), 276–290; Math. Notes, 92:2 (2012), 249–259
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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