In the classic theory, p-Laplace operator (1 < p < infinity) joined several main parts of the mathematics in a fruitful way, and one important principle of mathematics is that extreme cases reveal interesting structure. Looking at p-Laplace operator as subgradients of a sequence of convex functionals Ep, as p goes to 1 and to infinity, we study the connection of the dual problem between 1-Laplace operator and infinity-Laplace operator using tools from convex analysis and the notion of Mosco convergence.
Worcester Polytechnic Institute
Major Qualifying Project
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