- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Subgradient estimates for a nonlinear subelliptic equation on complete pseudohermitian manifold Bull. Korean Math. Soc. 2018 Vol. 55, No. 1, 175-186 https://doi.org/10.4134/BKMS.b160922Published online January 31, 2018 Yingbo Han, Kaige Jiang, Mingheng Liang Xinyang Normal University, Xinyang Normal University, Abstract : Let $(M,J,\theta)$ be a complete pseudohermintian $(2n+1)$-mani\-fold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subelliptic equation $\triangle_b u+a u\log u+b u=0$ on $M$, where $a\leq 0$, $b$ are two real constants. Keywords : subgradient estimate, nonlinear subparabolic equation, pseudohermitian manifold MSC numbers : 32V05, 32V20 Downloads: Full-text PDF