Nonlinear Kato Class and Unique Continuation of Eigenfunctions for p-Laplacian Operator

We study some basic properties of nonlinear Kato class Mp(ℝn) and M~p(ℝn), respectively, for 1<p<n. Also, we study the problem -div(|∇u|p-2∇u)+V|u|p-2u=0 in Ω, where Ω is a bounded domain in ℝn and the weight function V is assumed to be not equivalent to zero and lies in M~p(Ω), in the case w...

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Bibliographic Details
Main Authors: René Erlín Castillo, Julio C. Ramos Fernández
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/512050
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