Three positive solutions of semilinear elliptic equations in the half space with a hole

[摘要] In this paper, assume that h is nonnegative and parallel to h parallel to(2)(L) > 0, we prove that if parallel to h parallel to(2)(L) is sufficiently small, then there are at least three positive solutions of Eq. (1) in R-+(N)\(d) over bar, where D is a C-1,C-1 bounded domain in R-N. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-11-15

[关键词] three positive solutions;semilinear elliptic equations;minimax method;(PS)-sequence