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- W2124397731 abstract "In this paper we report on a variational problem under a constraint on the mass which is motivated by the torsional rigidity and torsional creep. Following a device by Alt, Caffarelli and Friedman we treat instead a problem without constraint but with a penalty term. We will complete some of the results of [C. Bandle, A. Wagner, Optimization problems for weighted Sobolev constants, Calc. Var. Partial Differential Equations 29 (2007) 481–507] where the existence of a Lipschitz continuous minimizer has been established. In particular we prove qualitative properties of the optimal shape." @default.
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- W2124397731 date "2009-04-01" @default.
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- W2124397731 title "Optimization problems for an energy functional with mass constraint revisited" @default.
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- W2124397731 doi "https://doi.org/10.1016/j.jmaa.2008.05.102" @default.
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