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.
2018
22-nov-2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2931681
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