| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 842875 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 10 Pages |
Abstract
To every pp-harmonic vector field in the plane with p≥2p≥2 there corresponds a quasilinear system of first order PDEs which couples the complex gradients of the coordinate functions of the field. The ellipticity of such system is proved. A relation between planar quasiregular mappings and pp-harmonic fields is discussed. The pp-harmonic conjugate problem is stated.
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Authors
Tomasz Adamowicz,