Advances in Differential Equations

A variational problem for manifold valued functions

Vieri Benci, Fabio Giannoni, and Paolo Piccione

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We prove a result of existence and multiplicity for local minima of a functional defined on maps from $\mathbb R^3$ to a compact Riemannian manifold $\mathcal M$. The interest in such a minimization problem lies in possible applications to field theory. Namely, the solutions to our variational problem are related to the existence of topological solitons.

Article information

Source
Adv. Differential Equations Volume 5, Number 1-3 (2000), 369-400.

Dates
First available in Project Euclid: 27 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1356651389

Mathematical Reviews number (MathSciNet)
MR1734547

Zentralblatt MATH identifier
0995.58011

Subjects
Primary: 58E15: Application to extremal problems in several variables; Yang-Mills functionals [See also 81T13], etc.
Secondary: 35J20: Variational methods for second-order elliptic equations 49J10: Free problems in two or more independent variables

Citation

Benci, Vieri; Giannoni, Fabio; Piccione, Paolo. A variational problem for manifold valued functions. Adv. Differential Equations 5 (2000), no. 1-3, 369--400. https://projecteuclid.org/euclid.ade/1356651389.


Export citation