In this paper, we study the existence and nonexistence of multiple positive solutions for problem [GRAPHICS] where Omega = R-Nomega is an exterior domain in R-N, omega subset of R-N is a bounded domain with smooth boundary, and N > 2. mu greater than or equal to 0, p > 1 are some given constants. K(x) satisfies: K(x) epsilon C-loc(alpha)(Omega) and There ExistsC, epsilon, M > 0 such that K(x) less than or equal to C x(l) for any x greater than or equal to M, with l less than or equal to -2-epsilon. Some existence and nonexistence of multiple solutions have been discussed under different assumptions on K. (C) 2002 Elsevier Science (USA). [References: 35]
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机译：在本文中，我们研究问题[GRAPHICS]的多个正解的存在和不存在，其中Omega = RN omega是RN中的外部域，RN的omega子集是具有光滑边界的有界域，并且N> 2。大于或等于0，p> 1是一些给定的常数。 K（x）满足：K（x）epsilonC-locα（Omega）并且存在C，epsilon，M> 0使得 K（x）小于或等于C x （l）任何大于或等于M的 x ，其中l小于或等于-2-ε。在K.（C）2002 Elsevier Science（美国）的不同假设下，讨论了多种解决方案的存在和不存在。 [参考：35]
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