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arXiv · 2204.05416

Mass optimization problem with convex cost

Giuseppe Buttazzo·Maria Stella Gelli·Danka Lučić
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Abstract

In this paper we consider a mass optimization problem in the case of scalar state function, where instead of imposing a constraint on the total mass of the competitors, we penalize the classical compliance by a convex functional defined on the space of measures. We obtain a characterization of optimal solutions to the problem through a suitable PDE. This generalizes the case considered in the literature of a linear cost and applies to the optimization of a conductor where very low and very high conductivities have both a high cost, and then the study of nonlinear models becomes relevant.

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Giuseppe Buttazzo, Maria Stella Gelli, Danka Lučić. 2022-04-11. Mass optimization problem with convex cost. https://arxiv.org/abs/2204.05416

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