Sobolev embeddings involving symmetry |
| |
Authors: | Wenzhi Wang |
| |
Institution: | Math. Lab., Shenzhen Polytechnic, Shenzhen 518055, China |
| |
Abstract: | Given a bounded regular domain with cylindrical symmetry, then functions having such symmetry and belonging to the first Sobolev space can be embedded compactly into some weighted Lp spaces, with p superior to the critical Sobolev exponent. A simple application to elliptic boundary value problem is also considered. |
| |
Keywords: | 02 30 Jr 02 30 Sa 02 30 Xx |
本文献已被 ScienceDirect 等数据库收录! |
|