Faculty Advisor

Mosco, Umberto

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2013

Major

Computer Science

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

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