Second-order necessary optimality conditions for domain optimization problems of the Neumann type
type: Item
instance of: scholarly article
title: Second-order necessary optimality conditions for domain optimization problems of the Neumann type
zbMATH Open document ID: 0676.49023
DOI: 10.1007/BF00939560
author: S. H. Smith
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: In this paper, we treat a domain optimization problem in which the boundary-value problem is a Neumann problem. In the case where the domain \(\Omega\) is in a three-dimensional Euclidean space, the first-order and the second-order necessary conditions which the optimal domain must satisfy are derived under a constraint which is the generalization of the requisite of constant volume.
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 4107550
zbMATH Keywords: domain optimization problem
zbMATH Keywords: Neumann problem
zbMATH Keywords: first-order and the second- order necessary conditions
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939560
OpenAlex ID: W2034229953
description: scientific article; zbMATH DE number 4107550