Search for dissertations about: "Sobolev spaces"
Showing result 6 - 10 of 23 swedish dissertations containing the words Sobolev spaces.
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6. Embedding theorems for spaces with multiweighted derivatives
Abstract : This Licentiate Thesis consists of four chapters, which deal with a new Sobolev type function space called the space with multiweighted derivatives. This space is a generalization of the usual one dimensional Sobolev space. READ MORE
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7. Studies in potential theory and function spaces
Abstract : With an emphasis on capacities and fine topologies, some potential theoretic problems are treated in the framework of function spaces of Dirichlet and Sobolev type.We give a new characterization of the Sobolev spaces W0m,p(Ω). READ MORE
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8. Capacities, Poincaré inequalities and gluing metric spaces
Abstract : This thesis consists of an introduction, and one research paper with results related to potential theory both in the classical Euclidean setting, as well as in quite general metric spaces.The introduction contains a theoretical and historical background of some basic concepts, and their more modern generalisations to metric spaces developed in the last 30 years. READ MORE
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9. 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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10. Newtonian Spaces Based on Quasi-Banach Function Lattices
Abstract : The traditional first-order analysis in Euclidean spaces relies on the Sobolev spaces W1,p(Ω), where Ω ⊂ Rn is open and p ∈ [1, ∞].The Sobolev norm is then defined as the sum of Lp norms of a function and its distributional gradient.We generalize the notion of Sobolev spaces in two different ways. READ MORE
