On a generalization of compact operators and its application to the existence of critical points without convexity
type: Item
instance of: scholarly article
title: On a generalization of compact operators and its application to the existence of critical points without convexity
zbMATH Open document ID: 1244.49027
author: Pablo Pedregal
published in: Archive for Rational Mechanics and Analysis
publication date: 2011-09-27T00:00:00Z
review text: The author formulates a sufficient condition for the existence of critical points for functionals. The condition is formulated in terms of Young measures and does not require to check either weak lower semicontinuity or convexity. Some applications to Cauchy problems or boundary value problems are provided.
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 5951174
zbMATH Keywords: generalization of compact operators
zbMATH Keywords: critical points
zbMATH Keywords: Young measures
reviewed by: Leszek Gasiński
MaRDI profile type: Publication
full work available at URL: s00205-010-0329-3
OpenAlex ID: W2057287259
cites work: A variational approach to implicit ODEs and differential inclusions
cites work: Q4547057
cites work: Fine phase mixtures as minimizers of energy
cites work: Direct methods in the calculus of variations
cites work: Q3414547
cites work: Q3995411
cites work: Q3414549
cites work: Direct approach to the problem of strong local minima in calculus of variations
cites work: Parametrized measures and variational principles
cites work: Quasiconvexity and uniqueness of stationary points in the multi-dimensional calculus of variations
cites work: Q3972449
DOI: 10.1007/S00205-010-0329-3
description: scientific article; zbMATH DE number 5951174