Student Work
Limit Cases of the p-Laplace Operator via Mosco Convergence
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open in viewerIn 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.
- This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
- Creator
- Publisher
- Identifier
- E-project-042413-155829
- Advisor
- Year
- 2013
- Date created
- 2013-04-24
- Resource type
- Major
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