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
Shaowei Chen
and Yongqing Li
Department of Mathematics, Fujian Normal University, Fuzhou, Fujian 35007, China
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.