On stochastically complete locally finite graphs with p in [2, ∞), fractional Sobolev spaces are complete and reflexive, and the fractional p-Laplace equation has positive and ground state solutions.
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Fractional Sobolev spaces and fractional $p$-Laplace equations on locally finite graphs
On stochastically complete locally finite graphs with p in [2, ∞), fractional Sobolev spaces are complete and reflexive, and the fractional p-Laplace equation has positive and ground state solutions.