A limiting free boundary problem ruled by Aronsson's equation

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dc.creatorRossi, J. D.
dc.creatorTeixeira, E. V.
dc.date2009-03-12
dc.date2009-04-01
dc.date.accessioned2026-07-07T12:58:25Z
dc.date.available2026-07-07T12:58:25Z
dc.descriptionWe study the behavior of $p$-Dirichlet optimal design problem with volume constraint for $p$ large. As the limit as $p$ goes to infinity, we find a limiting free boundary problem governed by the infinity-Laplacian operator. We establish a necessary and sufficient condition for uniqueness of the limiting problem and, under such a condition, we determine precisely the optimal configuration for the limiting problem. Finally, we establish convergence results for the free boundaries.
dc.identifierhttps://arxiv.org/abs/0903.2274
dc.identifierhttp://arxiv.org/abs/0903.2274
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225236
dc.subjectAnalysis of PDEs
dc.titleA limiting free boundary problem ruled by Aronsson's equation
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