Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708749 | Applied Mathematics Letters | 2012 | 5 Pages |
Abstract
This note is concerned with the existence and isolation of the first eigenvalue of the weighted equation −div(φ(|∇u|)∇u)=λm(x)φ(|u|)u. We work in the Orlicz–Sobolev space W1,G(Ω)W1,G(Ω), where G(t)G(t) is the convex function ∫0tφ(|s|)sds. We also derive a nodal set estimate.
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Computational Mechanics
Authors
Marcelo Montenegro, Sebastián Lorca,