Geodesic
Second-order sufficient condition for $\tilde\ell$-stable functions
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 7-18.

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The aim of our article is to present a proof of the existence of local minimizer in the classical optimality problem without constraints under weaker assumptions in comparisons with common statements of the result. In addition we will provide rather elementary and self-contained proof of that result.
Classification : 26B05, 49J52, 49K10, 90C30
Keywords: second-order derivative; $C^{1, 1}$ function; stable function; isolated minimizer of order 2 
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Bednařík, Dušan; Pastor, Karel. Second-order sufficient condition for $\tilde\ell$-stable functions. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 46 (2007) no. 1, pp. 7-18. http://geodesic.mathdoc.fr/item/AUPO_2007__46_1_a0/