Variational problems with obstacles and integral constraints
type: Item
instance of: scholarly article
title: Variational problems with obstacles and integral constraints
zbMATH Open document ID: 0578.49002
DOI: 10.1007/BF01449040
author: Goswin Eisen
published in: Applied Mathematics and Optimization
publication date: 1984-01-01T00:00:00Z
review text: The author shows that the minimum of a variational integral under all Sobolev functions with prescribed boundary value s subject to integral constraints are bounded and Hölder-continuous under a Carathéodory and a growth condition only. These results are also valid in the case of several integral constraints.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 35D10
Mathematics Subject Classification ID: 35J85
Mathematics Subject Classification ID: 26B35
Mathematics Subject Classification ID: 49M20
zbMATH DE Number: 3925660
zbMATH Keywords: regularity
zbMATH Keywords: minimum of a variational integral
zbMATH Keywords: integral constraints
reviewed by: Muhammad Aslam Noor
MaRDI profile type: Publication
cites work: On the regularity of the minima of variational integrals
cites work: On variational problems with obstacles and integral constraints for vector-valued functions
cites work: Q5518064
description: scientific article; zbMATH DE number 3925660