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Harnack inequality for harmonic functions relative to a nonlinear p-homogeneous Riemannian Dirichlet form

✍ Scribed by Marco Biroli; Silvana Marchi

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 320 KB
Volume: 71
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2008.11.076

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✦ Synopsis

We state a Wiener criterion for the regularity of points with respect to a relaxed Dirichlet problem for a p-homogeneous Riemannian Dirichlet form.

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Harnack inequality for harmonic function

Harnack inequality for harmonic functions relative to a nonlinear -homogeneous Riemannian Dirichlet form

✍ Marco Biroli; Paola Vernole 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 189 KB

We consider a Riemannian (p-homogeneous) Dirichlet functional (p > 1) defined on D, where D is a dense subspace of L p (X, m) and X is a locally compact Hausdorff topological space endowed with the distance d connected with (u) (see Section 2 for the definitions). We denote by a(u, v) = X ˜ (u, v)