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null Astala, Kari / Colding, Tobias / Dacorogna, Bernard / Maso, Gianni / Benedetto, Emmanuele / Fonseca, Irene / Finster, Felix / Gursky, Matthew / Hardt, Robert / Ishii, Hitoshi / Manfredi, Juan / McCann, Robert / Mingione, Giuseppe / Pacard, Frank / Preiss, David / Riviére, Tristan / Schaetzle, Reiner / Kristensen, Jan
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Citation Information: Advances in Calculus of Variations. Volume 1, Issue 1, Pages 1–51, ISSN (Online) 1864-8266, ISSN (Print) 1864-8258, DOI: 10.1515/ACV.2008.001, May 2008
Publication History:
The Dirichlet energy of Sobolev mappings between Riemannian manifolds is studied. After giving an explicit formula of the polyconvex extension of the energy for currents between manifolds, we prove a strong density result. As a consequence, we give an explicit formula for the relaxed energy. The fractional space of traces of W 1,2-mappings is also treated.
Keywords.: Relaxed energy; Sobolev mappings; Riemannian manifolds; currents
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