科研之友
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摘要
In this paper, we consider a type of Kirchhoff problem as follows @@@ -(a + b integral(RN) vertical bar del u vertical bar(2)Delta u = (1 + epsilon K(x))u(2*-1), u > 0, in R-N, @@@ where a, b> 0 are given constants, epsilon > 0 is a small parameter and 2* = 2N/(N - 2), (N >= 3). We show that if K(x) has k critical points near which K(x) satisfies some expansion assumption, then by Lyapunov-Schmidt reduction method, we construct multi-peak solutions for epsilon > 0 small, which concentrate at the k critical points of K(x).
