Existence and Uniqueness of Positive Solution for a Fractional Dirichlet Problem with Combined Nonlinear Effects in Bounded Domains

Imed Bachar and Habib Mâagli

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We prove the existence and uniqueness of a positive continuous solution to the following singular semilinear fractional Dirichlet problem (-Δ)α/2u=a1(x)uσ1+a2(x)uσ2, in D limx→z∈∂D(δ(x)) 1−(α/2)u(x) = 0, where 0

Date: 2013
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https://doi.org/10.1155/2013/295480

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:295480

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