Abstract
The solutions are given for 8 free boundary optimization problems. These mainly involve the minimization of the capacitance of a region under geometric constraints or bounds on certain weighted areas. The results are isoperimetric inequalities.
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Acker, A.F. (1978). Some Free Boundary Optimization Problems and their Solutions. In: Albrecht, J., Collatz, L., Hämmerlin, G. (eds) Numerische Behandlung von Differentialgleichungen mit besonderer Berücksichtigung freier Randwertaufgaben. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 39. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5566-2_1
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DOI: https://doi.org/10.1007/978-3-0348-5566-2_1
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