Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632463 | Applied Mathematics and Computation | 2009 | 8 Pages |
Abstract
In a bounded domain with smooth boundary, we consider a kind of weighted quasilinear elliptic problem, which satisfies Dirichlet boundary condition and involves the Hardy-Sobolev inequality. By the analytic techniques, we first get the properties of the extremal functions by which the best Hardy-Sobolev constant is achieved. Then by the variational methods, the existence of positive solutions to the problem is verified by careful estimates and computations.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dongsheng Kang,