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 / Greco, Carlo. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - STAMPA. - 10:2(1993), pp. 239-252. [10.1016/S0294-1449(16)30220-7]
The Dirichlet-problem for harmonic maps from the disk into a lorentzian warped product
Carlo Greco
1993
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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