Three positive solutions of semilinear elliptic equations in exterior cylinder domains

摘要

In this paper, assume that h is nonnegative and parallel to h parallel to(L2) > 0, we prove that if parallel to h parallel to(L2) is sufficiently small, then there are at least three positive solutions of Eq. (1) in an exterior cylinder domain. (c) 2006 Elsevier Inc. All rights reserved.