Positively homogeneous functions and the Łojasiewicz gradient inequality

Alain Haraux. "Positively homogeneous functions and the Łojasiewicz gradient inequality." Annales Polonici Mathematici 87.1 (2005): 165-174. <http://eudml.org/doc/280149>.

@article{AlainHaraux2005,
abstract = {It is quite natural to conjecture that a positively homogeneous function with degree d ≥ 2 on $ℝ^N$ 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.},
author = {Alain Haraux},
journal = {Annales Polonici Mathematici},
keywords = {Lojasiewicz inequality},
language = {eng},
number = {1},
pages = {165-174},
title = {Positively homogeneous functions and the Łojasiewicz gradient inequality},
url = {http://eudml.org/doc/280149},
volume = {87},
year = {2005},
}

TY - JOUR
AU - Alain Haraux
TI - Positively homogeneous functions and the Łojasiewicz gradient inequality
JO - Annales Polonici Mathematici
PY - 2005
VL - 87
IS - 1
SP - 165
EP - 174
AB - It is quite natural to conjecture that a positively homogeneous function with degree d ≥ 2 on $ℝ^N$ 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.
LA - eng
KW - Lojasiewicz inequality
UR - http://eudml.org/doc/280149
ER -