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

页码：52 / 66

页数：15

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