A variational problem for manifold valued functions

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