Local extrema of analytic functions

DOI10.1007/BF01194068zbMath0876.26018MaRDI QIDQ1922832

Gaetano Zampieri, Angelo Barone-Netto, Gianluca Gorni

Publication date: 20 November 1997

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

real analytic functionlocal extrema

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Theory of singularities and catastrophe theory (58K99) Local complex singularities (32S05) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Differentiable maps on manifolds (58C25) Real-analytic functions (26E05) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (7)

Phase portraits, Lyapunov functions, and projective geometry. Lessons learned from a differential equations class and its aftermath ⋮ A partial reciprocal of Dirichlet Lagrange theorem detected by jets ⋮ Stability of equilibrium of conservative systems with two degrees of freedom. ⋮ Instability of equilibrium points of some Lagrangian systems ⋮ The influence of the kinetic energy in equilibrium of Hamiltonian systems ⋮ On types of degenerate critical points of real polynomial functions ⋮ On the set of local extrema of a subanalytic function

Cites Work

• Semianalytic and subanalytic sets
• Jet-Detectable Extrema
• Unnamed Item

This page was built for publication: Local extrema of analytic functions