The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group
| dc.creator | Zheng, Zhujun | |
| dc.creator | Lu, Keping | |
| dc.creator | Xuebo, Luo | |
| dc.date | 2002-01-17 | |
| dc.date.accessioned | 2026-07-07T04:45:55Z | |
| dc.date.available | 2026-07-07T04:45:55Z | |
| dc.description | 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 $Z_2$ index theorem and get a result on multiplicity of generalized critical points. Using the result and a quite standard variational method, it is found that the equation $$ -Δ_{H^n} u=|u|^{p-1} u ~ x\in H^n $$ has infinite positive solutions. Our approach can also be applied to study more general nonlinear problems. | |
| dc.description | 12 pages, 0 figures | |
| dc.identifier | https://arxiv.org/abs/math/0201155 | |
| dc.identifier | http://arxiv.org/abs/math/0201155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63134 | |
| dc.subject | Analysis of PDEs | |
| dc.title | The Existence of Global Solution for a Class of Semilinear Equations on Heisenberg Group | |
| dc.type | text |