On univalent solutions of the biharmonic equation
© AbdulHadi et al. 2005
Received: 16 January 2004
Published: 31 October 2005
We analyze the univalence of the solutions of the biharmonic equation. In particular, we show that if is a biharmonic map in the form , , where is harmonic, then is starlike whenever is starlike. In addition, when , , where and are harmonic, we show that is locally univalent whenever is starlike and is orientation preserving.