Published Paper
Inserted: 29 oct 2016
Last Updated: 29 oct 2016
Journal: Electron. J. Differential Equations
Volume: 2016
Number: 263
Pages: 1-9
Year: 2016
Links:
http://ejde.math.txstate.edu/Volumes/2016/263/abstr.html
Abstract:
We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order $s \in (0,1)$ and summability growth $p>1$ whose model is the fractional $p$-Laplacian with measurable coeffcients. We prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.
Keywords: fractional Laplacian, fractional Sobolev spaces, quasilinear nonlocal operators, nonlocal tail, Fractional Superharmonic functions
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