2012/07/31 by Delio Mugnolo
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Boundary value problem #Compatibility (geochemistry) #Geometry #Homogeneous space #Laplace operator #Laplace transform #Laplace–Beltrami operator #Mathematical analysis #Mathematics #Nonlinear system #Operator (biology) #Physics #Point processes and geometric inequalities #Pure mathematics #Topological and Geometric Data Analysis #math.AP #math.CO #math.DS #math.FA #msc:05C50 #msc:39A12 #msc:47H20 #p-Laplacian
paper · pdf · doi:10.1016/j.na.2013.04.002
35 pages several corrections and enhancements in comparison to the v1
arxiv created 2013/01/15 · openalex publication_date 2013/04/28 · openalex created_date 2016/06/24 · arxiv updated 2018/12/21 · openalex updated_date 2026/08/05
We study the discrete version of the p-Laplacian. Based on its variational properties we discuss some features of the associated parabolic problem. Our approach allows us in turn to obtain interesting information about positivity and comparison principles as well as compatibility with the symmetries of the graph. We conclude briefly discussing the variational properties of a handful of nonlinear generalized Laplacians appearing in different parabolic equations.