The Liouville property of unbounded fractal layers. (English) Zbl 1132.31303
Summary: We consider an unbounded fractal layer \(S\) of Sierpiński type and we prove some analytic properties such as the essential self-adjointness of the Laplacian, the stochastic completeness of \(S\), and Liouville-type theorems for subharmonic functions.
Keywords:
Dirichlet forms; energy forms; Sierpiński Gasket; essential self-adjointness; stochastic completeness; Liouville propertyReferences:
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