On the uniform vanishing property at infinity of [formula omitted]-sequences

Abstract

We prove that sequences of functions (un)⊂Ws,p(RN), with s∈(0,1) and p∈(1,Ns), bounded in Ws,p(RN), strongly convergent in LNpN−sp(RN) and solving nonlinear fractional p-Laplacian Schrödinger equations in RN, must vanish at infinity uniformly with respect to n∈N.