on fourth-order elliptic equations of kirchhoff type with dependence on the gradient and the laplacian
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2018
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Abstract
We consider a nonlocal fourth-order elliptic equation of Kirchhoff type with dependence on the gradient and Laplacian Δ2u-a+b∫Ω∇u2dxΔu=fx,u,∇u,Δu, in Ω, u=0, Δu=0, on ∂Ω, where a, b are positive constants. We will show that there exists b⁎>0 such that the problem has a nontrivial solution for 0
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| Reference Key |
ru2018journalon
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|---|---|
| Authors | ;Yuanfang Ru;Fanglei Wang;Yunhai Wang;Tianqing An |
| Journal | Biosensors |
| Year | 2018 |
| DOI |
10.1155/2018/9857038
|
| URL | |
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