A p-Laplacian approximation for some mass optimization problems

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[arrow right]+∞. This seems to provide a selection criterion when the optimal solutions are nonunique.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of optimization theory and applications 2003-07, Vol.118 (1), p.1-25
Hauptverfasser:	BOUCHITTE, G, BUTTAZZO, G, DE PASCALE, L
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Approximation Exact sciences and technology Fundamental areas of phenomenology (including applications) Heat conduction Heat transfer Mathematical programming Mathematics Operational research and scientific management Operational research. Management science Optimization Physics Solid mechanics Static elasticity Static elasticity (thermoelasticity...) Structural and continuum mechanics
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Beschreibung
Zusammenfassung:	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[arrow right]+∞. This seems to provide a selection criterion when the optimal solutions are nonunique.
ISSN:	0022-3239 1573-2878
DOI:	10.1023/a:1024751022715