Geodesic
Some properties of two-dimensional surjective $p$-homogeneous maps
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1083-1092

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The properties of real $p$-homogeneous polynomial maps in $\mathrm{R}^2$ are examined. The relation between surjectivity and the existence of a nontrivial zero is investigated. Additionally, the relation between surjectivity and stable surjectivity is studied. Examples are discussed. 
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     title = {Some properties of two-dimensional surjective $p$-homogeneous maps},
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A. V. Arutyunov; S. E. Zhukovskiy; D. Yu. Karamzin. Some properties of two-dimensional surjective $p$-homogeneous maps. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 7, pp. 1083-1092. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_7_a0/