Geodesic
On the relative rotation of multivalued potential vector fields
Sbornik. Mathematics, Tome 74 (1993) no. 1, pp. 131-144

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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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     author = {V. S. Klimov and N. V. Senchakova},
     title = {On the relative rotation of multivalued potential vector fields},
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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/