We consider the Dirichlet problem on infinite and locally finite rooted trees, andwe prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W1,p of the tree.
Chalmoukis, N., Levi, M. (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
Chalmoukis, N;
2019
Abstract
We consider the Dirichlet problem on infinite and locally finite rooted trees, andwe prove that the set of irregular points for continuous data has zero capacity. We also give some uniqueness results for solutions in Sobolev W1,p of the tree.
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Chalmoukis-2019-Concrete Operators-VoR.pdf
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Descrizione: [C., Levi, CO, 2019] Some remarks on the Dirichlet problem on infinite trees.pdf
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