A Liouville theorem for superlinear parabolic equations on the Heisenberg group
Abstract: 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.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A Liouville theorem for superlinear parabolic equations on the Heisenberg group ; volume:24 ; number:1 ; year:2024 ; pages:189-205 ; extent:17
Advanced nonlinear studies ; 24, Heft 1 (2024), 189-205 (gesamt 17)
- Creator
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Wei, Juncheng
Wu, Ke
- DOI
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10.1515/ans-2023-0119
- URN
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urn:nbn:de:101:1-2024040415380822691211
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:59 AM CEST
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Associated
- Wei, Juncheng
- Wu, Ke
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