Existence and Multiplicity of Positive Solutions for Dirichlet Problems in Unbounded Domains

Tsung-Fang Wu

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

Abstract: We consider the elliptic problem −Δu + u = b(x)|u|p−2u + h(x) in Ω, u∈H01(Ω), where 2 0 as |x| → ∞ and b(x) ≥ c for some suitable constants c ∈ (0, b∞), and h(x) ≡ 0. Furthermore, we prove that the above elliptic problem has multiple positive solutions if the coefficient b(x) also satisfies the above conditions, h(x) ≥ 0 and 0

Date: 2007
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https://doi.org/10.1155/2007/18187

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:018187

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