Energy identity for a class of approximate biharmonic maps into sphere in dimension four

نویسندگان

  • Changyou Wang
  • Shenzhou Zheng
چکیده

We consider in dimension four weakly convergent sequences of approximate biharmonic maps into sphere with bi-tension fields bounded in L for some p > 1. We prove an energy identity that accounts for the loss of Hessian energies by the sum of Hessian energies over finitely many nontrivial biharmonic maps on R.

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تاریخ انتشار 2011