Beschreibung:
Considers fully discretized p-Laplacian problems on graphs. The motivation of nonlocal continuum limits comes from the quest of understanding collective dynamics in large ensembles of interacting particles, which is a fundamental problem in nonlinear science, with applications ranging from biology to physics, chemistry and computer science.
1. Introduction; 2. Mathematical Background; 3. Nonlocal p-Laplacian evolution problem on graphs; 4. Nonlocal p-Laplacian variational problem on graphs; 5. Nonlocal p-Laplacian Dirichlet problem on graphs; 6. Algorithmic framework based on proximal splitting; References.