SIAM Journal on Mathematical Analysis · 1978 · 28 citations · 6 references
Natural SciencesMathematicsOptimizationBoundary ConditionsBoundary-value ProblemsConvex AnalysisConvex OptimizationBoundary OptimizationCapacitanceFree-boundary Problems
Given a convex set $Q \subset R^2 $ (bounded by a simple closed curve) and a constant $A > 0$, we determine the doubly-connected region $\Omega $ encircling (but not intersecting) Q, with area $| \Omega | \leqq A$, which has the least capacitance.
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