On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups
Publication in refereed journal

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摘要Let G be a nilpotent, stratified homogeneous group, and let X1,…, Xm be left invariant vector fields generating the Lie algebra G associated to G. The main goal of this paper is to study the Yamabe type equations associated with the sub-Laplacian (Formula Presented): Especially, we will establish the existence, nonexistence and asymptotic behavior of positive solutions to (0.1). Our results include the Yamabe type problem on the Heisenberg group as a special case, which is of particular importance and interest and also appears to be new even in this case. © 1997 American Mathematical Society.
著者Lu G., Wei J.
期刊名稱Electronic Research Announcements of the American Mathematical Society
出版年份1997
月份8
日期28
卷號3
期次12
出版社American Mathematical Society
出版地United States
頁次83 - 89
國際標準期刊號1079-6762
語言英式英語
關鍵詞A priori estimates, Asymptotic behavior, Heisenberg group, Positive entire solutions, Stratified group, Yamabe problem

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