Geodesic
Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform
Erik Duse1
1 KTH Royal Institute of Technology, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 48 (2023) no. 1, pp. 43-66.

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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.  
DOI : 10.54330/afm.124732
Keywords: Elliptic partial differential equations, Beltrami equation, conformal structure

Erik Duse 1

1 KTH Royal Institute of Technology, Department of Mathematics and Statistics 
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Erik Duse. Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform. Annales Fennici Mathematici, Tome 48 (2023) no. 1, pp. 43-66. doi : 10.54330/afm.124732. http://geodesic.mathdoc.fr/articles/10.54330/afm.124732/

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