ON THE LOJASIEWICZ EXPONENTS OF QUASI-HOMOGENEOUS FUNCTIONS

被引：3
|
作者：
Haraux, Alain [1 ]
Tien Son Pham [2 ]
机构：
[1] Univ Paris 06, Lab Jacques Louis Lions, UMR 7598, CNRS, Boite Courrier 187, F-75252 Paris 05, France
[2] Dalat Univ, Dept Math, Da Lat, Vietnam
来源：
JOURNAL OF SINGULARITIES | 2015年 / 11卷
关键词：
quasi-homogeneous; gradient inequality; Lojasiewicz exponents;
D O I：
10.5427/jsing.2015.11c
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Quasi-homogeneous functions, and especially polynomials, enjoy some specific properties around the origin which allow to estimate the so-called Lojasiewicz exponents in a way quite similar to homogeneous functions. In particular we generalize a previous result for polynomials of two variables concerning the optimal Lojasiewicz gradient inequality at the origin.
引用
收藏
页码：52 / 66
页数：15
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