A mapping is called overdetermined if m > n. We prove that the calculations of both the local and global Łojasiewicz exponent of a real overdetermined polynomial mapping can be reduced to the case m = n.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-4, author = {Stanis\l aw Spodzieja and Anna Szlachci\'nska}, title = {\L ojasiewicz Exponent of Overdetermined Mappings}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {61}, year = {2013}, pages = {27-34}, zbl = {1267.14074}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-4} }
Stanisław Spodzieja; Anna Szlachcińska. Łojasiewicz Exponent of Overdetermined Mappings. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 27-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-1-4/