Conformal Structure of Autonomous Leray-Lions Equations in the Plane and Linearisation by Hodograph Transform

Erik Duse

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arXiv · 2201.11721

Conformal Structure of Autonomous Leray-Lions Equations in the Plane and Linearisation by Hodograph Transform

Erik Duse

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Abstract

We give sufficient conditions for when an autonomous elliptic Leray-Lions equation in the plane has a conformal structure. This allows the Leray-Lions equation to be linearised in a special form through the hodograph transform.

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Erik Duse. 2022-01-27. Conformal Structure of Autonomous Leray-Lions Equations in the Plane and Linearisation by Hodograph Transform. https://arxiv.org/abs/2201.11721

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