Article ID Journal Published Year Pages File Type
4613274 Journal of Differential Equations 2007 45 Pages PDF
Abstract

We consider the existence of solutions to the semilinear elliptic problemequation(∗){−Δu+u=up+κ∑i=1mciδaiin D′(RN),u>0a.e. inRNandu(x)→0as|x|→∞,with prescribed given finite points {ai}i=1m in RNRN and positive numbers {ci}i=1m, where N⩾3N⩾3, 10κ∗>0 such that (∗)κ has at least two solutions if κ∈(0,κ∗)κ∈(0,κ∗), a unique solution if κ=κ∗κ=κ∗, and no solution if κ>κ∗κ>κ∗.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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