Abstract and Applied Analysis
Volume 7 (2002), Issue 1, Pages 29-33
doi:10.1155/S1085337502000726
On the existence of a positive solution for a semilinear elliptic
equation in the upper half space
Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 35007, China
Received 14 September 2001
Copyright © 2002 Chen Shaowei and Li Yongqing. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We show the existence of a nontrivial solution to the
semilinear elliptic equation −Δu+u=b(x)|u|p−2u, u>0, u∈H01(ℝ+N) under some suitable
conditions.