Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502892 | Journal of Mathematical Analysis and Applications | 2005 | 22 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Maïtine Bergounioux, Patrick Maheux,