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Locally invertible $\sigma$-harmonic mappings. (arXiv:1810.03003v1 [math.AP])
来源于:arXiv
We extend a classical theorem by H. Lewy to planar $\sigma$-harmonic
mappings, that is mappings $U$ whose components $u^1$ and $u^2$ solve a
divergence structure elliptic equation ${\rm div} (\sigma \nabla u^i)=0$ , for
$i=1,2$. A similar result is established for pairs of solutions of certain
second order non--divergence equations. 查看全文>>