2009/03/12 by Julio D. Rossi, J. D. Rossi, Eduardo V. Teixeira +3
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AP
paper · pdf · doi:10.48550/arxiv.0903.2274
openalex publication_date 2009/03/12 · arxiv created 2009/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.