Search for dissertations about: "p-harmonic"
Showing result 1 - 5 of 6 swedish dissertations containing the word p-harmonic.
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1. p-harmonic functions near the boundary
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2. The Double Obstacle Problem on Metric Spaces
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
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3. Quasi-radial solutions of the p-harmonic equation in the plane and their stream functions
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4. The Double Obstacle Problem on Metric Spaces
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
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5. Harmonic measures
Abstract : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel. Fix a domain and a boundary point, subject to certain regularity conditions. READ MORE