Energy quantization for biharmonic maps
Energy quantization for biharmonic maps
复制标题
DOI：
10.1515/acv-2012-0105
复制
发表时间：
2011-12
期刊：
影响因子：
--
通讯作者：
P. Laurain;T. Rivière
中科院分区：
文献类型：
--
作者：
P. Laurain;T. Rivière
抽象的。在本工作中，我们建立了包含双调和映射的四维标度不变变分问题解的能量量子化(或能量恒等式)结果。为此，我们首先建立了具有反对称势的临界线性四阶椭圆组的解的角能量量子化。该方法的灵感来自于作者在《具有反对称势的线性椭圆组的角能量量子化及其应用》(2011)一文中对二阶问题提出的方法。
Abstract. In the present work we establish an energy quantization (or energy identity) result for solutions to scaling invariant variational problems in dimension 4 which includes biharmonic maps (extrinsic and intrinsic). To that end we first establish an angular energy quantization for solutions to critical linear 4th order elliptic systems with antisymmetric potentials. The method is inspired by the one introduced by the authors previously in “Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications” (2011) for 2nd order problems.