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The existence of minimizers of the action functional without convexity assumption

Object's details: The existence of minimizers of the action functional without convexity assumption

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Provider:Akademicka Platforma Czasopism

Description

Title:
The existence of minimizers of the action functional without convexity assumption
Creator:
Orpel, Aleksandra
Description:
We shall prove the existence of minimizers of the following functional $ f(u)=\int_{0}^{T}L(x,u(x),u'(x))dx$ without convexity assumption. As a consequence of this result and the duality described in [A. Nowakowski, < i> Metody wariacyjne dla nieliniowych problemów Dirichleta< /i> (Chapter 6), Wydawnictwo Naukowo Techniczne, Warszawa, 1994] we derive the existence of solutions for the Dirichlet problem for a certain differential inclusion being a generalization of the Euler-Lagrange equation of the functional $f$.
Object availability:
free access
Rights:
Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
Date:
2002.09.01
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 20, No 1 (September 2002); 179 - 193;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.032/9644
Subject:
Dirichlet problem;
duality;
variational principle;
Euler-Lagrange equation;
Primary 49J40;
49J35;
Secondary 34B15
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2002.032
Data provider:
Akademicka Platforma Czasopism

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