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Shape optimisation problems governed by nonlinear state equations

  • Dorin Bucur (a1) and Paola Trebeschi (a2)

Abstract

The purpose of this paper is to give a compactness-continuity result for the solution of a nonlinear Dirichlet problem in terms of its domain variation. The topology in the family of domains is given by the Hausdorff metric and continuity is obtained under capacity conditions. A generalisation of Sverak's result in iV-dimensions is deduced as a particular case.

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Shape optimisation problems governed by nonlinear state equations

  • Dorin Bucur (a1) and Paola Trebeschi (a2)

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