A Direct Method of Moving Planes to Fractional Power SubLaplace Equations on the Heisenberg Group

Autor:	Xin-jing Wang, Peng-cheng Niu
Rok vydání:	2021
Předmět:	Applied Mathematics Direct method 010102 general mathematics 0103 physical sciences Heisenberg group 010307 mathematical physics 0101 mathematics Invariant (mathematics) 01 natural sciences Fractional power Symmetry (physics) Mathematics Mathematical physics
Zdroj:	Acta Mathematicae Applicatae Sinica, English Series. 37:364-379
ISSN:	1618-3932 0168-9673
DOI:	10.1007/s10255-021-1016-x
Popis:	We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace equation on the Heisenberg group. The method is based on four maximum principles derived here. Then symmetry and nonexistence of positive cylindrical solutions are proved.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3ff1722719cf22afbdec666e189d54f5 https://doi.org/10.1007/s10255-021-1016-x Zobrazit plný text záznamu Full text from SpringerLink