Harnack Inequality for the Schrödinger Problem Relative to Strongly Local Riemannian p-Homogeneous Forms with a Potential in the Kato Class

We define a notion of Kato class of measures relative to a Riemannian strongly local p-homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small enough) for the positive solutions to a Schrödinger-type problem relative to the form with a potential in the Kato class....

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Bibliographic Details
Main Authors: Silvana Marchi, Marco Biroli
Format: Article
Language:English
Published: SpringerOpen 2007-02-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2007/24806