|
|
| |
| PARTIAL REGULARITY FOR OPTIMAL DESIGN PROBLEMSINVOLVING BOTH BULK AND SURFACE ENERGIES |
| |
Citation： |
F. H. LIN,R. V. KOHN.PARTIAL REGULARITY FOR OPTIMAL DESIGN PROBLEMSINVOLVING BOTH BULK AND SURFACE ENERGIES[J].Chinese Annals of Mathematics B,1999,20(2):137~158 |
| Page view： 1169
Net amount： 643 |
Authors： |
F. H. LIN; R. V. KOHN |
|
|
| Abstract： |
This paper studies a class of variational problems which involving both bulk and surface energies. The bulk energy is of Dirichlet type though it can be in very general forms allowing unknowns to be scalar or vectors.The surface energy is an arbitrary elliptic parametric integral which is defined on a free interface. One also allows other constraints such as volumes of partitioning sets. One establishes the existence and regularity theory, in particular, the regularity of the free interface of such problems. |
Keywords： |
Partial regularity, Optimal design problem,
Nonlinear variational problems |
Classification： |
49J35 |
|
|
Download PDF Full-Text
|
|
|
|
