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arXiv · 2002.04565

Allen-Cahn equation for the truncated Laplacian: unusual phenomena

Isabeau Birindelli·Giulio Galise
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Abstract

We study entire viscosity solutions of the Allen-Cahn type equation for the truncated Laplacian that are either one dimensional or radial, in order to shed some light on a possible extension of the Gibbons conjecture in this degenerate elliptic setting.

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Isabeau Birindelli, Giulio Galise. 2020-02-11. Allen-Cahn equation for the truncated Laplacian: unusual phenomena. https://arxiv.org/abs/2002.04565

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