On some Optimal Partition Problems
Presenter
January 13, 2011
Keywords:
- applied PDE
- partial differential equations
- boundary layers and boundary conditions
- minimization of functionals
- Almgren's quotient
- singular set
MSC:
- 35R35
- 35R37
- 35-xx
- 35Qxx
- 35Pxx
- 35P30
- 35B65
Abstract
We consider the free boundary problem associated with optimal partitions related with linear and nonlinear eigenvalues. We are concerned with extremality conditions and the regularity of the nodal sets, also in connection with that of eigenfunctions and the number of their nodal domains.