Harmonic maps with potential |
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| Authors: | Ali Fardoun Andrea Ratto |
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| Affiliation: | (1) Department of Mathematics, University of Brest, 6 Avenue Le Gorgeu, F-29275 Brest Cedex, France; e-mail: Ali.Fardoun@univ-brest.fr, FR;(2) Dipartimento di Matematica, Unical, 87036 Arcavata di Rende (CS), Italy, IT |
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| Abstract: | Let (M,g) and (N,h) be two Riemannian manifolds, and G:N →ℝ a given function. If f:M → N is a smooth map, we set E G (f)=12 ∫M [∣df∣2− 2G(f)]dv g. We establish some variational properties and some existence results for the functional E G (f): in particular, we analyse the case of maps into a sphere. Received April 29, 1996 / Accepted May 28, 1996 |
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| Keywords: | Mathematics Subject Classification: 58E20 49A10 35J20 |
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