Abstract
Type numbers of critical points for Lipschitz functionals are studied. Versions of the Morse inequalities are established; it is shown that the topological index of an isolated critical point is equal to the alternated sum of its type numbers. Formulas for calculating the type numbers of the zero critical point of one functional are given.
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Klimov, V.S. Type Numbers of Critical Points for Nonsmooth Functionals. Mathematical Notes 72, 641–651 (2002). https://doi.org/10.1023/A:1021404921840
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DOI: https://doi.org/10.1023/A:1021404921840