Existence and Uniqueness of Positive Solution for a Fractional Dirichlet Problem with Combined Nonlinear Effects in Bounded Domains
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<α<2, σ1, σ2∈(-1,1), D is a bounded C1,1-domain in ℝn,n≥2, and δ(x) denotes the Euc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/295480 |