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research article
Regularity of solutions for a fourth-order elliptic system via Conservation law
In this paper, we obtain interior Holder continuity for solutions of the fourth-order elliptic system Delta(2)u = Delta(V center dot del u) + div(w del u) + W center dot del u formulated by Lamm and Riviere [Comm. Partial Differential Equations 33 (2008) 245-262]. Boundary continuity is also obtained under a standard Dirichlet or Navier boundary condition. We also use conservation law to establish a weak compactness result which generalizes a result of Riviere for the second-order problem.
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Type
research article
Web of Science ID
WOS:000491792900001
Authors
Publication date
2020
Volume
101
Issue
3
Start page
907
End page
922
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 5, 2019