Bubbling phenomena of biharmonic maps

In this paper, by using Moser’s iteration technique, we will show that every sequence in the totality of biharmonic maps between two compact Riemannian manifolds (M,g)(M,g) and (N,h)(N,h) with mm-energies (m=dimM≥3m=dimM≥3) and L2L2-norm of the tension fields which are bounded above by any positive constant CC, causes the bubbling phenomena, which is a generalization of the one for harmonic maps.