A note on elliptic first order systems in the plane and the Vekua Equation with structure polynomial $X^2 + \beta X + \alpha $

D. Alay\'on-Solarz

A note on elliptic first order systems in the plane and the Vekua Equation with structure polynomial $X^2 + \beta X + \alpha $

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arxiv 1105.2236 v1 pith:OGUXXKFO submitted 2011-05-11 math.CV math.AP

D. Alayón-Solarz This is my paper · ORCID

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keywords ellipticequationfirstnoteorderplanesystemsalpha

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This note deals with the following problem: under which conditions can elliptic first order systems in the plane be complex-rewritten as a parameter-depending Vekua-type equation?

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The Absorption Theorem for the Beltrami-Vekua Normal Form
math.CV 2026-06 unverdicted novelty 6.0 of 10

Proves that re-normalizing the Beltrami-Vekua normal form after any pointwise invertible real-linear substitution of unknowns returns to the gauge orbit of the original equation via the explicit gauge ilde{\varphi}=-...

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