The Infinity Laplacian eigenvalue problem: reformulation and a numerical scheme
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In this work we present an alternative formulation of the higher eigenvalue problem associated to the infinity Laplacian, which opens the door for numerical approximation of eigenfunctions. A rigorous analysis is performed to show the equivalence of the new formulation to the traditional one. We define consistent numerical schemes for approximating infinity ground states and higher eigenfunctions and perform numerical experiments which also shed light on some open conjectures in the field.
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