A Non-Existence Result for Harmonic Mappings from $\mathbf{R}^n$ into $\mathbf{H}^n$

1988 Tokyo Journal of Mathematics  
growth-order condition. This implies a non-existence theorem for harmonic mappings under some growth condition. On the contrary, our non-existence theorem in this paper requires no growth condition. In order to describe our main result precisely we introduce some notations: We use a standard coordinate system $x= (x^{1}, \cdots, x^{n}
doi:10.3836/tjm/1270133976 fatcat:afocoly5affiravgn7dekly4ai