Abstract
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.
Original language | English |
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Pages (from-to) | 465-488 |
Number of pages | 24 |
Journal | Differential and Integral Equations |
Volume | 33 |
Issue number | 9-10 |
Publication status | Published - Sept 2020 |
MoE publication type | A1 Journal article-refereed |