A p-Laplacian Approximation for Some Mass Optimization Problems

G. Bouchitté, G. Buttazzo and L. De Pascale
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G. Bouchitté: Université de Toulon et du Var
G. Buttazzo: Università di Pisa
L. De Pascale: Università di Pisa

Journal of Optimization Theory and Applications, 2003, vol. 118, issue 1, No 1, 25 pages

Abstract: Abstract We show that the problem of finding the best mass distribution, in both the conductivity and elasticity cases, can be approximated by means of solutions of a p-Laplace equation as p→+∞. This seems to provide a selection criterion when the optimal solutions are nonunique.

Keywords: Shape optimization; p-Laplacian; mass transportation problems; Monge–Kantorovich differential equation (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1024751022715

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