Subharmonicity of the modulus of quasiregular harmonic mappings

Abstract

In this note we determine all numbers $q\in \mathbf{R}$ such that $|u{|}^q$ is a subharmonic function, provided that $u$ is a $K-$quasiregular harmonic mappings in an open subset $\Omega$ of the Euclidean space ${\mathbf{R}}^n$.

6 pages