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.
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Bouchitté, G., Buttazzo, G. & De Pascale, L. A p-Laplacian Approximation for Some Mass Optimization Problems. Journal of Optimization Theory and Applications 118, 1–25 (2003). https://doi.org/10.1023/A:1024751022715
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DOI: https://doi.org/10.1023/A:1024751022715