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

DOI10.54330/afm.124732OpenAlexW4309585269MaRDI QIDQ5883033

Erik Duse

Publication date: 29 March 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11721

zbMATH Keywords

elliptic partial differential equationsconformal structureBeltrami equation

Mathematics Subject Classification ID

First-order elliptic systems (35J46) Quasilinear elliptic equations (35J62)

Related Items (1)

Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces

Cites Work

• How a minimal surface leaves an obstacle
• Improved Hölder regularity for strongly elliptic PDEs
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Elliptic partial differential equations of second order
• Nonlinear Beltrami operators, Schauder estimates and bounds for the Jacobian
• \(C^1\) regularity of orthotropic \(p\)-harmonic functions in the plane
• Regularity of \(p\)-harmonic functions on the plane
• Gradient variational problems in \(\mathbb{R}^2\)
• Dimers and amoebae
• A variational principle for domino tilings
• Quasiconformal geometry of monotone mappings
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