\(p\)-regularity theory and nonlinear optimization problems
type: Item
instance of: scholarly article
title: \(p\)-regularity theory and nonlinear optimization problems
zbMATH Open document ID: 1485.49025
DOI: 10.1007/978-3-030-38603-0_18
author: Vlasta Malkova
author: Yu. G. Evtushenko
author: A. Tret'yakov
publication date: 2021-09-14T00:00:00Z
review text: The authors investigate the nonlinear optimization problem in the form of optimal control problems subject to irregular constraints for which the multiplier of the objective function in Pontryagin's function may vanish. For the entire collection see [Zbl 1460.90005].
reviewed by: Savin Treanţă
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 7395337
zbMATH Keywords: nonlinear optimization
zbMATH Keywords: singular optimal control
zbMATH Keywords: \(p\)-regularity
zbMATH Keywords: \(p\)-factor operator
zbMATH Keywords: nonlinear boundary value problems
zbMATH Keywords: implicit function theorem
MaRDI profile type: Publication
full work available at URL: 978-3-030-38603-0 18
OpenAlex ID: W3000123821
Recommended article: P-regularity theory: applications to optimization
Recommended article: Degenerate equality constrained optimization problems and P-regularity theory
Recommended article: The \(p\)th order optimality conditions for nonregular optimization problems
Recommended article: \(p\)-regular nonlinearity: tangency at singularity in degenerate optimization problems
Recommended article: Nonsmooth equations in optimization. Regularity, calculus, methods and applications
Recommended article: Application of \(p\)-regularity theory to nonlinear boundary value problems
Recommended article: Optimal regularity of stable solutions to nonlinear equations involving the \(p\)-Laplacian
Recommended article: Q3840139
Recommended article: Q5187752
Recommended article: Regularity and strong sufficient optimality conditions in differentiable optimization problems
description: scientific article; zbMATH DE number 7395337