A boundary monotonicity inequality for variationally biharmonic maps and applications to regularity theory |
| |
Authors: | Serdar Altuntas |
| |
Institution: | 1.Fakult?t für Mathematik,Universit?t Duisburg-Essen,Essen,Germany |
| |
Abstract: | We derive a boundary monotonicity formula for a class of biharmonic maps with Dirichlet boundary conditions. A monotonicity formula is crucial in the theory of partial regularity in supercritical dimensions. As a consequence of such a boundary monotonicity formula, one is able to show partial regularity for variationally biharmonic maps and full boundary regularity for minimizing biharmonic maps. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|