4.2 Article

Allen-Cahn equation for the truncated Laplacian: Unusual phenomena

期刊

MATHEMATICS IN ENGINEERING
卷 2, 期 4, 页码 722-733

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AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mine.2020034

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fully nonlinear degenerate elliptic equations; entire solutions; one dimensional symmetry

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  1. INDAM-GNAMPA

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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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