A limiting free boundary problem ruled by Aronsson's equation
Analysis of PDEs
2009-04-02 v2
Abstract
We study the behavior of -Dirichlet optimal design problem with volume constraint for large. As the limit as 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.
Cite
@article{arxiv.0903.2274,
title = {A limiting free boundary problem ruled by Aronsson's equation},
author = {J. D. Rossi and E. V. Teixeira},
journal= {arXiv preprint arXiv:0903.2274},
year = {2009}
}