The solvability of Brezis-Nirenberg type problems of singular quasilinear elliptic equation
| dc.creator | Xuan, Benjin | |
| dc.date | 2004-03-31 | |
| dc.date.accessioned | 2026-07-07T05:06:56Z | |
| dc.date.available | 2026-07-07T05:06:56Z | |
| dc.description | In this paper, we consider the existence and non-existence of non-trivial solution to a Brezis-Nirenberg type problem with singular weights. First, we obtain a compact imbedding theorem which is an extension of the classical Rellich-Kondrachov compact imbedding theorem, and consider the corresponding eigenvalue problem. Secondly, we deduce a Pohozaev type identity and obtained a non-existence result. Thirdly, based on a generalized concentration compactness principle, we will give some abstract conditions when the functional satisfies the (PS)$_c$ condition. Finally, based on the explicit form of the extremal function, we will obtain some existence results to the problem. | |
| dc.description | 24 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/math/0403549 | |
| dc.identifier | http://arxiv.org/abs/math/0403549 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70666 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J60 | |
| dc.title | The solvability of Brezis-Nirenberg type problems of singular quasilinear elliptic equation | |
| dc.type | text |