Functions with finite non-local energy I_{δ,p}(u,Ω) are exponentially integrable with exponent proportional to δ^{-1}, and the exponent p/d is shown to be sharp.
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Exponential integrability in the spirit of Moser-Trudinger's inequalities of functions with finite non-local, non-convex energy
Functions with finite non-local energy I_{δ,p}(u,Ω) are exponentially integrable with exponent proportional to δ^{-1}, and the exponent p/d is shown to be sharp.