On the relative rotation of multivalued potential vector fields
Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 131-144 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions are presented under which the relative index of a critical set realizing a local minimum of a nonsmooth functional coincides with the Euler–Poincaré characteristic of this set. An analogous result is obtained for the index of a functional increasing at $\infty$.
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V. S. Klimov; N. V. Senchakova. On the relative rotation of multivalued potential vector fields. Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 131-144. http://geodesic.mathdoc.fr/item/SM_1993_74_1_a10/

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