A mathematical programming problem with singular mixed pointwise-integral constraints

  title={A mathematical programming problem with singular mixed pointwise-integral constraints},
  author={M. Bergounioux and Patrick Maheux},
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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Showing 1-5 of 5 references

Introduction à la théorie des points critiques (et applications aux problèmes elliptiques)

  • O. Kavian
  • 1993
1 Excerpt

γ-convergence and the concentration-compactness 29 method for some variational problems with lack of compactness

  • M. Esteban, P-.L. Lions
  • Ricerche di Matematica,
  • 1987
1 Excerpt

The concentration-compactness principle in the calculus of variations: the limit case I

  • P.-L. Lions
  • Revista Mathematica Iberoamericana,
  • 1985
1 Excerpt

Analyse réelle et complexe

  • W. Rudin
  • 1978
1 Excerpt

Functional Analysis, theory and applications

  • R. E. Edwards
  • Holt, Rinehart and Winston,
  • 1965
1 Excerpt

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