In this paper we prove the existence and the regularity of a harmonic map from the disk of R2 into the Lorentz manifold , with a given boundary condition. Since the energy functional is not bounded from below, we search for its critical points which are not minima.
The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
Carlo Greco
1993-01-01
Abstract
In this paper we prove the existence and the regularity of a harmonic map from the disk of R2 into the Lorentz manifold , with a given boundary condition. Since the energy functional is not bounded from below, we search for its critical points which are not minima.File in questo prodotto:
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