Geodesic
Type Numbers of Critical Points for Nonsmooth Functionals
Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 693-705

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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. 
@article{MZM_2002_72_5_a7,
     author = {V. S. Klimov},
     title = {Type {Numbers} of {Critical} {Points} for {Nonsmooth} {Functionals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {693--705},
     publisher = {mathdoc},
     volume = {72},
     number = {5},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a7/}
}
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V. S. Klimov. Type Numbers of Critical Points for Nonsmooth Functionals. Matematičeskie zametki, Tome 72 (2002) no. 5, pp. 693-705. http://geodesic.mathdoc.fr/item/MZM_2002_72_5_a7/