A mathematical programming problem with singular mixed pointwise-integral constraints |
| |
Authors: | Maï tine Bergounioux,Patrick Maheux |
| |
Affiliation: | MAPMO, UMR 6628, Département de mathématiques, Université d'Orléans, BP 6759, 45067 Orléans cedex 02, France |
| |
Abstract: | We investigate an infinite dimensional optimization problem which constraints are singular integral-pointwise ones. We give some partial results of existence for a solution in some particular cases. However, the lack of compactness, even in L1 prevents to conclude in the general case. We give an existence result for a weak solution (as a measure) that we are able to describe. The regularity of such a solution is still an open problem. |
| |
Keywords: | Compactness Measure Minimization |
本文献已被 ScienceDirect 等数据库收录! |
|