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The normal derivative lemma and surrounding issues

D. E. Apushkinskaya, Alexander I. Nazarov

2022Russian Mathematical Surveys15 citationsDOI

Abstract

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.

Topics & Concepts

Lemma (botany)MathematicsDerivative (finance)State (computer science)BibliographyBoundary (topology)Mathematical analysisDirectional derivativeCalculus (dental)Applied mathematicsPure mathematicsLawAlgorithmPolitical sciencePoaceaeDentistryMedicineFinancial economicsEconomicsBiologyEcologyAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsAdvanced Numerical Methods in Computational Mathematics
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