A large class of problems arise in the material sciences involving free interfaces. To establish the existence and regularity (including the regularity of free interfaces) of solutions has been an important and interesting issue. Here we were able to do so in a model case accounted in optimal designs. The method developed in this paper is rather general and may be useful for many other related problems.
|Original language||English (US)|
|Number of pages||20|
|Journal||Calculus of Variations and Partial Differential Equations|
|State||Published - May 1993|
- Mathematics subject classification: 49A21, 35A15
ASJC Scopus subject areas
- Applied Mathematics