The Infinity Laplace Equation
Master thesis
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http://hdl.handle.net/11250/259134Utgivelsesdato
2013Metadata
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Sammendrag
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.