Geodesic
Uniform Approximability of Functions by Polynomials of Special Classes on Compact Sets in $\mathbb R^2$
Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 75-87.

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We derive several sufficient conditions for the uniform approximability of functions by polynomial solutions of homogeneous elliptic equations of second order with constant coefficients on Carathéodory compact sets in $\mathbb R^2$. 
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A. B. Zaitsev. Uniform Approximability of Functions by Polynomials of Special Classes on Compact Sets in $\mathbb R^2$. Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 75-87. http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a6/

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