Geodesic
Stable lower estimates for smooth mappings and for gradients of smooth function
Sbornik. Mathematics, Tome 19 (1973) no. 3, pp. 425-467

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In this article is discussed a stable lower estimate for gradients of functions near a critical point. It is stable in the sense that if the function belongs to a family of functions depending smoothly on a finite-dimensional parameter, then the estimate will be correct for functions with close parameter values. Related to this estimate is a stratification of the space of jets of functions; the strata are semialgebraic sets of increasing codimension. Bibliography: 6 titles. 
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     author = {N. N. Nekhoroshev},
     title = {Stable lower estimates for smooth mappings and for gradients of smooth function},
     journal = {Sbornik. Mathematics},
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     volume = {19},
     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_19_3_a4/}
}
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N. N. Nekhoroshev. Stable lower estimates for smooth mappings and for gradients of smooth function. Sbornik. Mathematics, Tome 19 (1973) no. 3, pp. 425-467. http://geodesic.mathdoc.fr/item/SM_1973_19_3_a4/