Essays about: "p-harmonic function"

Found 2 essays containing the words p-harmonic function.

  1. 1. Capacity estimates and Poincaré inequalities for the weighted bow-tie

    University essay from Linköpings universitet/Matematiska institutionen; Linköpings universitet/Tekniska fakulteten

    Author : Andreas Christensen; [2017]
    Keywords : Bow-tie; Capacity; Metric space; Muckenhoupt weight; Poincaré inequality; Upper gradient; Weight function;

    Abstract : We give a short introduction to various concepts related to the theory of p-harmonic functions on Rn, and some modern generalizations of these concepts to general metric spaces. The article Björn-Björn-Lehrbäck [6] serves as the starting point of our discussion. READ MORE

  3. 2. An iterative solution method for p-harmonic functions on finite graphs with an implementation

    University essay from Matematiska institutionen

    Author : Tomas Andersson; [2009]
    Keywords : Dirichlet s problem; graphs; iteration; numerical solution; p-harmonic function;

    Abstract : In this paper I give a description and derivation of Dirichlet's problem, a boundary value problem, for p-harmonic functions on graphs and study an iterative method for solving it.The method's convergence is proved and some preliminary results about its speed of convergence are presented. READ MORE