An investigation of smooth maps in a neighbourhood of an abnormal point

DOI10.1070/IM2014v078n02ABEH002686zbMath1295.26014OpenAlexW2321894873WikidataQ57550608 ScholiaQ57550608MaRDI QIDQ5419308

D. Yu. Karamzin, Aram V. Arutyunov, Evgeniy Avakov

Publication date: 6 June 2014

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2014v078n02abeh002686

zbMATH Keywords

singular pointimplicit function theoremnonlinear mapinverse function theoremconstrained extremum

Mathematics Subject Classification ID

Implicit function theorems, Jacobians, transformations with several variables (26B10) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

Some properties of two-dimensional surjective \(p\)-homogeneous maps ⋮ Properties of surjective real quadratic maps ⋮ The Dines theorem and some other properties of quadratic mappings ⋮ Existence of real solutions of nonlinear equations without a priori normality assumptions ⋮ Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings

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