We build a discrete stochastic process adapted to the (nonlinear) dominative p-Laplacian Dpu(x):= ∆u + (p − 2)λN, where λN is the largest eigenvalue of D2u and p > 2. We show that the discrete solutions of the Dirichlet problems at scale ε tend to the solution of the Dirichlet problem for Dp as ε → 0. We assume that the domain and the boundary values are both Lipschitz.
|Number of pages||24|
|Journal||Differential and Integral Equations|
|Publication status||Published - Sep 2020|
|MoE publication type||A1 Journal article-refereed|