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Conservation laws for even order elliptic systems in the critical dimension - a new approach
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-25 , DOI: 10.1007/s00526-021-01995-7 Jasmin Hörter , Tobias Lamm
中文翻译:
临界维偶阶椭圆系统守恒定律——一种新方法
更新日期:2021-06-25
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-25 , DOI: 10.1007/s00526-021-01995-7 Jasmin Hörter , Tobias Lamm
We consider elliptic systems of order 2m in dimension 2m which are generalizations of extrinsic and intrinsic polyharmonic maps. We show the existence of a conservation law for these systems by using a small perturbation of Uhlenbeck’s gauge fixing matrix.
中文翻译:
临界维偶阶椭圆系统守恒定律——一种新方法
我们考虑维度为 2 m 的2 m阶椭圆系统,它们是外在和内在多谐映射的推广。我们通过使用 Uhlenbeck 规范固定矩阵的小扰动来证明这些系统存在守恒定律。