Article ID Journal Published Year Pages File Type
4632463 Applied Mathematics and Computation 2009 8 Pages PDF
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
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