Journal
MATHEMATICS IN ENGINEERING
Volume 2, Issue 4, Pages 722-733Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mine.2020034
Keywords
fully nonlinear degenerate elliptic equations; entire solutions; one dimensional symmetry
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Funding
- 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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