The existence of minimizers of the action functional without convexity assumption.
type: Item
instance of: scholarly article
title: The existence of minimizers of the action functional without convexity assumption.
zbMATH Open document ID: 1058.49001
DOI: 10.12775/TMNA.2002.032
author: Aleksandra Orpel
published in: Topological Methods in Nonlinear Analysis
publication date: 2002-01-01T00:00:00Z
review text: The author proves an existence result for minimizers of the functional of classical Calculus of Variations, without any convexity assumption on the Lagrangian function. As a consequence it is also proved the existence of solutions for the Dirichlet problem for a certain differential inclusion being a generalization of the Euler-Lagrange equation of the functional involved.
Mathematics Subject Classification ID: 49J05
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 49J24
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 1869661
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: duality
zbMATH Keywords: variational principle
zbMATH Keywords: Euler-Lagrange equation
zbMATH Keywords: integral functional
zbMATH Keywords: differential inclusion
reviewed by: Antonio Masiello
MaRDI profile type: Publication
full work available at URL: tmna.2002.032
OpenAlex ID: W2547160211
Recommended article: The existence of the critical points for the action functional without convexity assumptions
Recommended article: Characterization of minimizable Lagrangian action functionals and a dual Mather theorem
Recommended article: Teoremi di esistenza del minimo per funzionali non convessi del calcolo delle variazioni
Recommended article: Existence of Minimizers for NonLevel Convex Supremal Functionals
Recommended article: Minima in elliptic variational problems without convexity assumptions
Recommended article: Existence and regularity of minimizers for nonlocal energy functionals.
Recommended article: Existence and regularity of minimizers of nonconvex functionals depending on \(u\) and \(\nabla u\)
Recommended article: Q4422675
Recommended article: Existence of minimizers for vector problems without quasiconvexity condition
Recommended article: Q4672004
description: scientific article; zbMATH DE number 1869661