Geodesic
Some remarks about the $p$-Dirichlet integral
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 55-62.

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We discuss variational problems for the $p$-Dirichlet integral, $p$ non integer, for maps between manifolds, illustrating the role played by the geometry of the target manifold in their weak formulation.
Classification : 49J45, 49Q20, 58C99
Keywords: variational problems; $p$--Dirichlet integral 
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     title = {Some remarks about the $p${-Dirichlet} integral},
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Giaquinta, Mariano; Modica, Giuseppe; Souček, Jiří. Some remarks about the $p$-Dirichlet integral. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 1, pp. 55-62. http://geodesic.mathdoc.fr/item/CMUC_1994__35_1_a6/