A note on unique continuation of eigenfunctions for p-Laplacian operator in a bounded domain Ω in ℝ n with a potential V in L p (Ω)

Abstract

The aim of this note is to study the problem in Ω, where Ω is a bounded domain in and the potential V is assumed to be not equivalent to zero and lies in . Also, we establish the strong unique continuation property of the eigenfunctions for the p-Laplacian operator in the case where .