Conservation laws for even order elliptic systems in the critical dimension - a new approach

Author:

Hörter Jasmin,Lamm TobiasORCID

Abstract

AbstractWe 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.

Funder

Karlsruher Institut für Technologie (KIT)

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference23 articles.

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4. de Longueville, Frédéric Louis.: Regularität der Lösungen von Systemen (2m)-ter Ordnung vom polyharmonischen Typ in kritischer Dimension, https://doi.org/10.17185/duepublico/70153

5. de Longueville, Frédéric Louis., Gastel, Andreas.: Conservation laws for even order systems of polyharmonic map type, arXiv:1909:05697

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. L regularity theory for even order elliptic systems with antisymmetric first order potentials;Journal de Mathématiques Pures et Appliquées;2022-09

2. Regularity of weak solutions to higher order elliptic systems in critical dimensions;Transactions of the American Mathematical Society;2021-01-21

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