Level sets of nonsmooth functions. I: Lipschitz and piecewise-differentiable rank theorems

DOI10.1016/J.JMAA.2024.128257MaRDI QIDQ6491642

Paul I. Barton, Suzane M. Cavalcanti

Publication date: 24 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

level setsLipschitzrank theorempiecewise-differentiable

Mathematics Subject Classification ID

Mathematical programming (90Cxx) Existence theories in calculus of variations and optimal control (49Jxx) Functions of several variables (26Bxx)

Cites Work

• Unnamed Item
• On the local representation of piecewise smooth equations as a Lipschitz manifold
• Fat homeomorphisms and unbounded derivate containers
• Lipschitzian inverse functions, directional derivatives, and applications in \(C^{1,1}\) optimization
• Sensitivity analysis of composite piecewise smooth equations
• Introduction to Smooth Manifolds
• Introduction to Piecewise Differentiable Equations
• The Rank Theorem for Locally Lipschitz Continuous Functions
• The Angle Between Complementary Subspaces
• Piecewise Smoothness, Local Invertibility, and Parametric Analysis of Normal Maps
• Every compact convex subset of matrices is the Clarke Jacobian of some Lipschitzian mapping

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