%0 Journal Article %T On symmetry of extremals in several embedding theorems %A E. V. Mukoseeva %A A. I. Nazarov %J Mathematics %D 2014 %I arXiv %X We study the symmetry/asymmetry of functions providing sharp constants in the embedding theorems ${\stackrel{\circ}{W}}\vphantom{W}_2^r(-1,1)\hookrightarrow{\stackrel{\circ}{W}}\vphantom{W}_\infty^k(-1,1)$ for various $r$ and $k$. The sharp constants for all $r>k$ in the cases $k=4$ and $k=6$ are calculated explicitly as well. %U http://arxiv.org/abs/1408.3746v1