Existence of Positive Solution of a Class of Semi-linear Sub-elliptic Equation in the Entire Space $H^n$
| dc.creator | Zheng, Zhu-Jun | |
| dc.creator | Feng, Xiu-Fang | |
| dc.date | 2002-12-20 | |
| dc.date.accessioned | 2026-07-07T04:53:56Z | |
| dc.date.available | 2026-07-07T04:53:56Z | |
| dc.description | 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 $1<p < \frac{Q+2}{Q-2}$, Q is the homogeneous dimension of Heisenberg group $H^n$. Our main result is that this problem has at least one positive solution. | |
| dc.description | 14pages, no fingures | |
| dc.identifier | https://arxiv.org/abs/math/0212283 | |
| dc.identifier | http://arxiv.org/abs/math/0212283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66052 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 35J60 | |
| dc.title | Existence of Positive Solution of a Class of Semi-linear Sub-elliptic Equation in the Entire Space $H^n$ | |
| dc.type | text |