ANALYSIS ON THE JUNCTIONS OF DOMAIN WALLS

作者:Caffarelli Luis A*; Lin Fang Hua
来源:Discrete and Continuous Dynamical Systems, 2010, 28(3): 915-929.
DOI:10.3934/dcds.2010.28.915

摘要

In this paper, we study the local structure and the smoothness of singularities of free boundaries in an optimal partition problem for the Dirichlet eigenvalues. We prove that there is a unique homogeneous blow up(tangent map) at each singular point in the interior of the free boundary. As a consequence we obtain the rectifiability as well as local structures of singularities.

  • 出版日期2010-11