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