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Energy Identity for a Class of Approximate Biharmonic Maps Into Sphere in Dimension Four by Wang, Changyou; Zheng, Shenzhou is a scholarly article available to read on EtoBox.

What is Energy Identity for a Class of Approximate Biharmonic Maps Into Sphere in Dimension Four about?

We consdier in dimension four weakly convergent sequences of approximate biharmonic maos into sphere with bi-tension fields bounded in $L^p$ 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 $\mathbb R^4$.

Author

Wang, Changyou; Zheng, Shenzhou

Published

2011

Language

EN