In this article, we report two sets of finite difference methods of order two and four over a rectangular domain for the efficient numerical integration of the system of two-dimensional nonlinear elliptic biharmonic problems of the second kind. Second-order derivatives of the solutions are obtained
β¦ LIBER β¦
Remarks on the regularity of biharmonic maps in four dimensions
β Scribed by Roger Moser
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 118 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0010-3640
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β¦ Synopsis
Abstract
We study intrinsic biharmonic maps on a fourβdimensional domain into a smooth, compact Riemannian manifold. We prove a partial regularity result without the assumption that the second derivatives are squareβintegrable. Β© 2005 Wiley Periodicals, Inc.
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