Title of article
On p-harmonic mappings in the plane Original Research Article
Author/Authors
Tomasz Adamowicz، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
10
From page
502
To page
511
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.
Keywords
pp-harmonic mapping , Complex gradient , Quasiregular mapping , Quasilinear system
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861190
Link To Document