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On the shape derivative for problems of Bernoulli type - MaRDI portal

On the shape derivative for problems of Bernoulli type (Q924041)

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scientific article; zbMATH DE number 5586909
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On the shape derivative for problems of Bernoulli type
scientific article; zbMATH DE number 5586909

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    On the shape derivative for problems of Bernoulli type (English)
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    27 July 2009
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    The shape derivative of a Bernoulli-type functional is computed (see, in particular, formula (3.3) of the paper). This extends the work of [\textit{K. Ito, K. Kunisch} and \textit{G. H. Peichl}, ESAIM, Control Optim. Calc. Var. 14, No.~3, 517--539 (2008; Zbl 1357.49148)] by weakening the regularity assumptions.
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