2 papers
math.AP2002
Existence of Positive Solution of a Class of Semi-linear Sub-elliptic Equation in the Entire Space
Zhu-Jun Zheng, Xiu-Fang Feng
In this paper, we study the following problem $$ \{{ll} Δ_{H^n} u-u+u^p=0 & in H^n u>0& in H^n u(x)\to 0 &ρ(x)\to\infty}. $$ where , Q is the homogeneous dim…
math.AP2002
The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group
Zhujun Zheng, Keping Lu, Luo Xuebo
Based on the concepts of a generalized critical point and the corresponding generalized P.S. condition introduced by Duong Minh Duc[1], we have proved a new index theorem and…