We show that the problem of finding the best mass distri- bution, in both the conductivity and elasticity cases, can be approxi- mated by means of solutions of a p-Laplace equation as p → +S. This seems to provide a selection criterion when the optimal solutions are nonunique.
A p-Laplacian approximation for some mass optimization problems / BOUCHITTE G.; BUTTAZZO G; DE PASCALE L.. - In: JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. - ISSN 0022-3239. - STAMPA. - 118:1(2003), pp. 1-25. [10.1023/A:1024751022715]
A p-Laplacian approximation for some mass optimization problems
DE PASCALE, LUIGI
2003
Abstract
We show that the problem of finding the best mass distri- bution, in both the conductivity and elasticity cases, can be approxi- mated by means of solutions of a p-Laplace equation as p → +S. This seems to provide a selection criterion when the optimal solutions are nonunique.
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