Generalized dirichlet problem in nonlinear potential theory.
Tero Kilpeläinen, Jan Maly (1990)
Manuscripta mathematica
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Displaying similar documents to “Limits of Nonlinear Dirichlet Problems in varying domains.”
Generalized dirichlet problem in nonlinear potential theory.
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We consider post-critically finite self-similar fractals with regular harmonic structures. We first obtain effective resistance estimates in terms of the Euclidean metric, which in particular imply the embedding theorem for the domains of the Dirichlet forms associated with the harmonic structures. We then characterize the domains of the Dirichlet forms.