On the existence of a positive solution for a semilinear elliptic equation in the upper half space

Chen Shaowei and Li Yongqing

Abstract and Applied Analysis, 2002, vol. 7, issue 1, 29-33

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.

Date: 2002
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https://doi.org/10.1155/S1085337502000726

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:1:p:29-33

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