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.
1. Angelsberg, Gilles, Pumberger, D.: A regularity result for polyharmonic maps with higher integrability. Ann. Global Anal. Geom. 35(1), 63–81 (2009)
2. Bethuel, F., Ghidaglia, J.-M.: Improved regularity of solutions to elliptic equations involving Jacobians and applications. J. Math. Pures Appl. 72(5), 441–474 (1993)
3. Chang, Sun-Yung A., Wang, Lihe, Yang, Paul C.: A regularity theory of biharmonic maps. Comm. Pure Appl. Math. 52(9), 1113–1137 (1999)
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