We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order s ϵ (0,1) and summability growth p > 1, whose model is the fractional p-Laplacian with measurable coefficients. We prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.
A note on fractional supersolutions / Korvenpää, Janne; Kuusi, Tuomo; Palatucci, Giampiero. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2016:263(2016), pp. 1-9.
A note on fractional supersolutions
PALATUCCI, Giampiero
2016-01-01
Abstract
We study a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order s ϵ (0,1) and summability growth p > 1, whose model is the fractional p-Laplacian with measurable coefficients. We prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.File in questo prodotto:
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