A Liouville theorem for superlinear parabolic equations on the Heisenberg group

We consider a parabolic nonlinear equation on the Heisenberg group. Applying the Gidas–Spruck type estimates, we prove that under suitable conditions, the equation does not have positive solutions. As an application of the nonexistence result, we provide optimal universal estimates for positive solu...

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Bibliographic Details
Main Authors: Wei Juncheng, Wu Ke
Format: Article
Language:English
Published: De Gruyter 2024-03-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2023-0119

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