9 A limiting free boundary problem ruled by Aronsson ’ s equation

نویسندگان

  • Julio D. Rossi
  • Eduardo V. Teixeira
چکیده

We 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.

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تاریخ انتشار 2009