Mathematics of the USSR-Sbornik · 1993 · 13 citations · 3 references
Natural SciencesMathematicsDynamical SystemsFunctional AnalysisEuler Characteristic InterpretationExistence Of MinimizersNondegenerate Critical PointsPoincaré IndexSaddle Point Problems
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 .
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