Geodesic
Conformal structure of autonomous Leray–Lions equations in the plane and linearisation by hodograph transform
Erik Duse1
1KTH 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 
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
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