Some Results on Subelliptic Equations

Authors
Ma, Li Cheng, De Zhong Yang, Yang
Citation
Ma, Li et al., Some Results on Subelliptic Equations, Acta mathematica Sinica. English series (Print) , 22(6), 2006, pp. 1695-1704
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
22
Issue
6
Year of publication
2006
Pages
1695 - 1704
Database
ACNP
SICI code
Abstract
In this paper, we consider the principal eigenvalue problem for Hormander.s Laplacian on R n, and we find a comparison principle for such principal eigenvalues. We also study a related semi-linear sub-elliptic equation in the whole R n and prove that, under a suitable condition, we have infinitely many positive solutions of the problem