This paper is concerned with the existence of multiple non-radial sign-changing solutions for{-Δu＋（1＋βV（y））u=｜u｜p-2u,y∈RN,{U（y）→0,当｜y｜→＋∞ where 2〈pM2N/（N-2）^＋,for N 〉 2 and 2 ＊ =＋∞ for N = 2, β can be regarded as a parameter and V（ ｜ y ｜ ） 〉 0 decays exponentially to zero at infinity. We prove that there exists a suitable range of β such that the above problem has a non-radial sign-changing solutions with exactly k maximum points and k min- imum points which tend to infinity as fl --β→- ∞ （ or 0^- ...
