Article ID Journal Published Year Pages File Type
9502892 Journal of Mathematical Analysis and Applications 2005 22 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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