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.
Matteo Levi, Nikolaos Chalmoukis (2019). Some remarks on the Dirichlet problem on infinite trees. CONCRETE OPERATORS, 6(1), 20-32 [10.1515/conop-2019-0002].
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.File in questo prodotto:
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Some remarks on the Dirichlet problem on infinite trees.pdf
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