The Infinity Laplace Equation
In this thesis, we prove that the Infinity-Laplace equation has a unique solution in the viscosity sense. We prove existence by approximating the equation by the p-Laplace equation, and uniqueness will be shown by use of the Theorem on Sums. We will also show that the viscosity solutions of the Infinity-Laplace equation enjoys comparison with cones, and vice versa.
Place, publisher, year, edition, pages
Institutt for matematiske fag , 2013. , 80 p.
IdentifiersURN: urn:nbn:no:ntnu:diva-20686Local ID: ntnudaim:6926OAI: oai:DiVA.org:ntnu-20686DiVA: diva2:616146
Lindqvist, Lars Peter, Professor