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On isoperimetric problems for domains with partly known boundaries. (English) Zbl 0309.49003


MSC:

49K99 Optimality conditions
49J45 Methods involving semicontinuity and convergence; relaxation
52A40 Inequalities and extremum problems involving convexity in convex geometry
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References:

[1] Polya, G., andSzeg?, G.,Isoperimetric Inequalities in Mathematical Physics, Princeton University Press, Princeton, New Jersey, 1951.
[2] Payne, L. E.,Isoperimetric Inequalities and Their Applications, SIAM Review, Vol. 9, No. 3, 1967. · Zbl 0154.12602
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