Positively homogeneous functions and the Łojasiewicz gradient inequality
Alain Haraux
Annales Polonici Mathematici, Tome 85 (2005), p. 165-174 / Harvested from The Polish Digital Mathematics Library
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It is quite natural to conjecture that a positively homogeneous function with degree d ≥ 2 on ℝN satisfies the Łojasiewicz gradient inequality with exponent θ = 1/d without any need for an analyticity assumption. We show that this property is true under some additional hypotheses, but not always, even for N = 2.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280149 
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     year = {2005},
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Alain Haraux. Positively homogeneous functions and the Łojasiewicz gradient inequality. Annales Polonici Mathematici, Tome 85 (2005) pp. 165-174. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-13/