Following Rivière’s study of conservation laws for second order quasilinear systems with critical nonlinearity and Lamm/Rivière’s generalization to fourth order, we consider similar systems of order 2m. Typical examples are m-polyharmonic maps. Under natural conditions, we find a conservation law for weak solutions on 2m-dimensional domains. This implies continuity of weak solutions.

中文翻译：

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多调和映射型偶阶系统守恒定律

遵循 Rivière 对具有临界非线性的二阶拟线性系统的守恒定律的研究和 Lamm/Rivière 对四阶的推广，我们考虑 2 m阶的类似系统。典型的例子是m 多谐映射。在自然条件下，我们找到了 2 m维域上弱解的守恒定律。这意味着弱解的连续性。