Subharmonicity of the modulus of quasiregular harmonic mappings

preprint2011arXivOpen access

Abstract

In this note we determine all numbers q∈Rq\in \mathbf R such that ∣u∣q|u|^q is a subharmonic function, provided that uu is a K−K-quasiregular harmonic mappings in an open subset ΩΩ of the Euclidean space Rn\mathbf R^n.

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