Abstract

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 ) and ( N , h ) with m -energies ( m = dim M ≥ 3 ) and L 2 -norm of the tension fields which are bounded above by any positive constant C , causes the bubbling phenomena, which is a generalization of the one for harmonic maps.

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