摘要 : In this paper, we show that the following nonlocal equation {-Delta u + lambda u = (vertical bar x vertical bar(-mu) * vertical bar u vertical bar(q))vertical bar u vertical bar(q-2)u in Omega, (0.1) u is an element of H-0(1)(Omeg... 展开 In this paper, we show that the following nonlocal equation {-Delta u + lambda u = (vertical bar x vertical bar(-mu) * vertical bar u vertical bar(q))vertical bar u vertical bar(q-2)u in Omega, (0.1) u is an element of H-0(1)(Omega) has at least cat(Omega)(Omega) positive solutions under certain condition on q if lambda > lambda(0) for some lambda(0) > 0, where Omega subset of R-N, N >= 3, is an unbounded domain with the boundary partial differential partial derivative Omega = phi, the set R-N\Omega is bounded. (c) 2021 Elsevier Inc. All rights reserved. 收起