A mathematical programming problem with singular mixed pointwise-integral constraints

@inproceedings{Bergounioux2004AMP,
  title={A mathematical programming problem with singular mixed pointwise-integral constraints},
  author={M. Bergounioux and Patrick Maheux},
  year={2004}
}
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. 

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