A note on fractional supersolutions
Research output: Contribution to journal › Article › Scientific › peer-review
- University of Parma
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.
|Journal||ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS|
|Publication status||Published - 28 Sep 2016|
|MoE publication type||A1 Journal article-refereed|
- Fractional Laplacian, Fractional Sobolev spaces, Fractional superharmonic functions, Nonlocal tail, Quasilinear nonlocal operators