Search for dissertations about: "Zohra Farnana"

Found 2 swedish dissertations containing the words Zohra Farnana.

  2. 1. The Double Obstacle Problem on Metric Spaces

    Author : Zohra Farnana; Jana Björn; Anders Björn; Jan Malý; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we investigate the double obstacle problem for p-harmonic functions on metric spaces. We minimize the p-energy integral among all functions which have prescribed boundary values and lie between two given obstacles. READ MORE

  4. 2. The Double Obstacle Problem on Metric Spaces

    Author : Zohra Farnana; Jan Björn; Anders Björn; Juha Kinnunen; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; metric space; nonlinear; obstacle problem; p-harmonic; potential theory; regularity; stability; MATHEMATICS; MATEMATIK;

    Abstract : During the last decade, potential theory and p-harmonic functions have been developed in the setting of doubling metric measure spaces supporting a p-Poincar´e inequality. This theory unifies, and has applications in several areas of analysis, such as weighted Sobolev spaces, calculus on Riemannian manifolds and Carnot groups, subelliptic differential operators and potential theory on graphs. READ MORE