Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840491 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 8 Pages |
Abstract
We use the Hardy-Sobolev inequality to characterize the first eigenvalue λ1 of the p-Laplacian with singular weight. In some cases it is shown that λ1 is positive simple, isolated and has a nonnegative corresponding eigenfunction Ï1. Higher eigenvalues, in particular the second one, are also determined.
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Authors
Marcelo Montenegro, Sebastián Lorca,