Commun. Korean Math. Soc. Published online January 4, 2022
Seddik OUAKKAS and Yasmina REGUIG
University of Saida; University of Saida
Abstract : In this paper, we prove that a conformal mapping is triharmonic if and only if the gradient of its dilation is solution of a fourth-order elliptic partial differential equation and we construct some examples of triharmonic non-biharmonic maps. In this case, we also calculate the trace of the stress-energy tensor associated with the triharmonic maps.