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

Författare

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

DOI:

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

Nyckelord:

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.

 

Nedladdningar

Publicerad

2022-11-18

Nummer

Vol 48 Nr 1 (2023)

Sektion

Articles

Licens

Copyright (c) 2022 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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