𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on the regularity of biharmonic maps in four dimensions

✍ Scribed by Roger Moser


Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
118 KB
Volume
59
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

We study intrinsic biharmonic maps on a four‐dimensional domain into a smooth, compact Riemannian manifold. We prove a partial regularity result without the assumption that the second derivatives are square‐integrable. Β© 2005 Wiley Periodicals, Inc.


πŸ“œ SIMILAR VOLUMES


Difference methods of order two and four
✍ R. K. Mohanty; P. K. Pandey πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 428 KB πŸ‘ 2 views

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

A remark on the logarithmically improved
✍ Sadek Gala πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

In this paper, we study the regularity criterion of weak solutions of the three dimensional micropolar fluid flows. It is proved that if the pressure satisfies where P B 1 1,1 denotes the critical Besov space, then the weak solution .u, w/ becomes a regular solution on .0, T. This regularity criter