### 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