This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies in and weakly in , then is a biharmonic map. In particular, we show that the space of biharmonic maps is sequentially compact under the weak- topology.
Submitted July 15,2012. Published October 31, 2012.
Math Subject Classifications: 35J48, 35G50, 58J05.
Key Words: Biharmonic maps, conservation law, weak compactness.
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| Shenzhou Zheng |
Department of Mathematics
Beijing Jiaotong University
Beijing 100044, China
email: firstname.lastname@example.org, Tel: +1-859-257-4802
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