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摘要
This paper is concerned with the following nonlinear fractional Schrdinger equation @@@ epsilon(2s) (-Delta)(s) u + V(x) u = u(p), u > 0 in R-N, @@@ where epsilon > 0 is a small parameter, V(x) is a positive function, 0 < s < 1 and 1 < p < N+2s/N-2s. Under some suitable conditions, we prove that for any positive integer k is an element of Z(+), one can construct a k-spike positive solution near the local maximum point of V(x).
