Analysis of a degenerate obstacle problem on an unbounded set arising in the environment
type: Item
instance of: scholarly article
title: Analysis of a degenerate obstacle problem on an unbounded set arising in the environment
zbMATH Open document ID: 1033.35042
author: C. Faghloumi
author: J. I. Díaz
published in: Applied Mathematics and Optimization
publication date: 2002-06-27T00:00:00Z
review text: Due to several questions on the economics of environment management the authors developed a study of a class of optimization dynamics displaying irreversibility. The paper is organized as follows: Section 2 contains the modeling of the problems under the preliminary consideration. Section 3 proves the existence and the uniqueness of a solution of the main problem in a weak form formutation. After this the authors study conditions on the data, \(f(x)\) and the obstacle function in order to avoid the emptiness of the coincidence set. Finally, several special cases are illustrated in the fifth section.
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 91B76
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 1761090
zbMATH Keywords: unbounded domain
zbMATH Keywords: degenerate operator
zbMATH Keywords: optimization dynamics
MaRDI profile type: Publication
full work available at URL: s00245-001-0038-2
OpenAlex ID: W2041970510
DOI: 10.1007/S00245-001-0038-2
description: scientific article; zbMATH DE number 1761090