A Hopf's lemma and a strong minimum principle for the fractional p-Laplacian

作者：Del Pezzo, Leandro M.^*; Quaas, Alexander

来源：Journal of Differential Equations, 2017, 263(1): 765-778.

DOI：10.1016/j.jde.2017.02.051

• Fractional p-Laplacian
• Hopf's lemma
• Strong minimum principle

Our propose here is to provide a Hopf lemma and a strong minimum principle for weak supersolutions of @@@ (-Delta(p))(s) u = c(x)vertical bar u vertical bar(p-2)u in Omega @@@ where SI is an open set of R-N, s is an element of p (0, 1), p is an element of(1, +infinity), c is an element of C((Omega) over bar) and (-Delta(p))(s) is the fractional p-Laplacian.

• 出版日期2017-7-5