| F. H. LIN,R. V. KOHN.[J].数学年刊A辑,1999,20(2):137~158 |
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| PARTIAL REGULARITY FOR OPTIMAL DESIGN PROBLEMSINVOLVING BOTH BULK AND SURFACE ENERGIES |
| Received:October 30, 1998 |
| DOI： |
| 中文关键词: |
| 英文关键词:Partial regularity, Optimal design problem,
Nonlinear variational problems |
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| 中文摘要: |
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| 英文摘要: |
| 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. |
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