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.
Allen-Cahn equation for the truncated Laplacian: unusual phenomena / Birindelli, Isabella; Galise, Giulio. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - 2:4(2020), pp. 722-733. [10.3934/mine.2020034]
Allen-Cahn equation for the truncated Laplacian: unusual phenomena
Birindelli, Isabella;Galise, Giulio
2020
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.File allegati a questo prodotto
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