Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform

Authors

  • Erik Duse KTH Royal Institute of Technology, Department of Mathematics and Statistics

DOI:

https://doi.org/10.54330/afm.124732

Keywords:

Elliptic partial differential equations, Beltrami equation, conformal structure

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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Published

2022-11-18

Issue

Vol. 48 No. 1 (2023)

Section

Articles

License

Copyright (c) 2022 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Duse, E. (2022). Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform. Annales Fennici Mathematici, 48(1), 43-66. https://doi.org/10.54330/afm.124732