科研之友
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摘要
In this paper, we study the nonlinear Choquard equation @@@ {-Delta u + lambda u = (I-2*vertical bar u vertical bar(p))vertical bar u vertical bar(p-2)u in Omega, @@@ u is an element of H-0(1)(Omega), @@@ where Omega subset of R-N is an unbounded domain, partial derivative Omega not equal empty set is bounded, lambda is an element of R+, p = 2 if N = 3, 4, 5 or 2 < p < 7/3 if N=3. By global compactness analysis, we show that the problem has at least one positive high energy solution.
