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, 1-5

Abstract:

We show the existence of a nontrivial solution to the semilinear elliptic equation − Δ u + u = b ( x ) | u | p − 2 u ,   u > 0 ,     u ∈ H 0 1 ( ℠+ N ) under some suitable conditions.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:975406

DOI: 10.1155/S1085337502000726

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