A generalization of the implicit function theorem for mappings from \({\mathcal R}^{n+1}\) into \({\mathcal R}^ n\) and its applications

DOI10.1016/0022-1236(84)90085-5zbMath0534.58007OpenAlexW1998301664MaRDI QIDQ790493

Patrick J. Rabier

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90085-5

zbMATH Keywords

Morse lemmanondegeneracy conditionhomogeneous polynomial mapping

Mathematics Subject Classification ID

Local and nonlocal bifurcation theory for dynamical systems (37G99) Implicit function theorems; global Newton methods on manifolds (58C15)

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Cites Work

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