PARTIAL REGULARITY FOR OPTIMAL DESIGN PROBLEMS INVOLVING BOTH BULK AND SURFACE ENERGIES

作     者：F.H.LIN R.V.KOHN F. H. LIN* R. V. KOHN

作者机构：CourantInstituteofMathematicalSciencesUSA projectsupportedbytheNationalNaturalScienceFoundationofUSA 

出 版 物：《Chinese Annals of Mathematics,Series B》 (数学年刊（B辑英文版）)

年 卷 期：1999年第20卷第2期

页      面：137-158页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Partial regularity Optimal design problem Nonlinear variational problems 

摘      要：This paper studies a class of variational problems which involving both bulk and surfaceenergies. The bulk energy is of Dirichlet type though it can be in very general forms allowingunknowns to be scalar or *** surface energy is an arbitrary elliptic parametric integralwhich 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 regularityof the free interface of such problems.