The paper proves Brezis-Browder type results for fractional Sobolev spaces and gives sufficient conditions for distributional solutions to the fractional Poisson equation to have an integral representation plus a constant.
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Elementary Brezis-Browder type results and Representation formulae for s-harmonic functions
The paper proves Brezis-Browder type results for fractional Sobolev spaces and gives sufficient conditions for distributional solutions to the fractional Poisson equation to have an integral representation plus a constant.