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 div(\nabla u ) = 0, for i = 1; 2. A similar result is established for pairs of solutions of certain second order non{divergence equations.
Locally invertible \sigma-harmonic mappings
Giovanni Alessandrini;
2018-01-01
Abstract
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 div(\nabla u ) = 0, for i = 1; 2. A similar result is established for pairs of solutions of certain second order non{divergence equations.File in questo prodotto:
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