ON THE RELATIVE ROTATION OF MULTIVALUED POTENTIAL VECTOR FIELDS
Vladimir Stepanovich Klimov, N V Senchakova · Mathematics of the USSR-Sbornik · 1993
Conditions are presented under which the relative index of a critical set realizing a local minimum of a nonsmooth functional coincides with the Euler-Poincare characteristic of this set. An analogous result is obtained for the index of a functional increasing at .