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# 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} }

- Published 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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