A Liouville theorem for superlinear parabolic equations on the Heisenberg group

Autor:	Wei Juncheng, Wu Ke
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	heisenberg group liouville theorem blow up rate estimate parabolic nonlinear equation gidas–spruck type estimates primary 35k58 35b09 secondary 35j60 Mathematics QA1-939
Zdroj:	Advanced Nonlinear Studies, Vol 24, Iss 1, Pp 189-205 (2024)
Druh dokumentu:	article
ISSN:	2169-0375
DOI:	10.1515/ans-2023-0119
Popis:	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 solutions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2bb9f39e25804528bdbc85e70ac35d39 Zobrazit plný text záznamu View record in DOAJ