We consider the Dirichlet problem on in_nite and locally _nite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W^{1,p} of the tree.

Some remarks on the Dirichlet problem on infinite trees

Matteo Levi;Nikolaos Chalmoukis
2019

Abstract

We consider the Dirichlet problem on in_nite and locally _nite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W^{1,p} of the tree.
2019
Matteo Levi; Nikolaos Chalmoukis
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/691095
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