Some results on non-coercive variational problems and applications
type: Item
instance of: scholarly article
title: Some results on non-coercive variational problems and applications
zbMATH Open document ID: 0823.49008
DOI: 10.4171/ZAA/676
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-10-22T00:00:00Z
review text: The author considers some problems of the calculus of variations with noncoercive integrands. In particular, he studies the following functional \[ F(u)= \int^ 1_ 0 f(x, u'(x))dx \] in the class of Lipschitz continuous functions in \([0, 1]\) and he obtains a necessary and sufficient condition for the existence of solution. Some examples and applications to the optimal foranging models in behavioural ecology are given.
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 761124
zbMATH Keywords: problems of the calculus of variations
zbMATH Keywords: noncoercive integrands
zbMATH Keywords: necessary and sufficient condition
zbMATH Keywords: existence of solution
zbMATH Keywords: behavioural ecology
author: François Weissbaum
reviewed by: Elvira Mascolo
MaRDI profile type: Publication
cites work: Optimal Foraging in Nonpatchy Habitats. 2: Unbounded One-Dimensional Habitat
cites work: Existence of solutions for a variational problem associated to models in optimal foraging theory
cites work: A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations
cites work: On a classical problem of the calculus of variations without convexity assumptions
cites work: Q4743352
cites work: Optimal foraging, the marginal value theorem
cites work: Q5332396
cites work: Q5676744
cites work: Convex Analysis
cites work: Q3673540
description: scientific article; zbMATH DE number 761124