Random homogenization of p-Laplacian with obstacles in perforated domain

2010/10/22 by Lan Tang, Tang, Lan
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1010.4789

openalex publication_date 2010/10/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper,we will study the homogenization of p-Laplacian with obstacles in perforated domain, where the holes are periodically distributed and have random size. And we also assume that the p-capacity of each hole is stationary ergodic.

Related

• Random homogenization of an obstacle problem
• Stochastic homogenization on randomly perforated domains
• Random Homogenization of Fractional Obstacle Problems
• Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
• Homogenization of random fractional obstacle problems via Γ-convergence