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arxiv: 1105.2236 · v1 · submitted 2011-05-11 · 🧮 math.CV · math.AP

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A note on elliptic first order systems in the plane and the Vekua Equation with structure polynomial X² + β X + α

D. Alay\'on-Solarz
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classification 🧮 math.CV math.AP
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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Pseudo-Analytic Mass of a Beltrami-Vekua Equation

    math.CV 2026-05 unverdicted novelty 7.0

    A gauge-invariant 2-form Θ = |B|^2 / (1 - |μ|^2) dx dy yields a pseudo-analytic mass whose integral vanishes on analytic equations (B ≡ 0) and separates inequivalent classes on the disk.