| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843798 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 7 Pages |
Abstract
We study, with λλ varying in R+R+, the behavior of the LsLs-norm of the unique positive solution of the following Dirichlet problem {−Δpu=λus−1in Ωu∣∂Ω=0 when s→p−s→p−. In particular, we prove that this norm is asymptotic to C(λλp)1p−s for some positive constant CC, where λpλp is the first eigenvalue of the pp-Laplacian on ΩΩ.
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Authors
Giovanni Anello,