Existence of Multiple Solutions for a p-Kirchhoff Problem with Nonlinear Boundary Conditions

Existence of Multiple Solutions for a p-Kirchhoff Problem with Nonlinear Boundary Conditions

The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem -M(∫Ω‍|x|-ap|∇u|p)div(|x|-ap|∇u|p-2∇u)=λh(x)|u|r-2u, x∈Ω, M(∫Ω‍|x|-ap|∇u|p)|x|-ap|∇u|p-2 (∂u/∂ν) = g(x)|u|q-2u, on ∂Ω, where 1

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Veröffentlicht in:TheScientificWorld 2013-01, Vol.2013 (2013), p.1-9
Hauptverfasser: Xiu, Zonghu, Chen, Caisheng
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Differential equations, Partial
Manifolds (Mathematics)
Mathematical research
Models, Theoretical
Studies
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Zusammenfassung:The paper considers the existence of multiple solutions of the singular nonlocal elliptic problem -M(∫Ω‍|x|-ap|∇u|p)div(|x|-ap|∇u|p-2∇u)=λh(x)|u|r-2u, x∈Ω, M(∫Ω‍|x|-ap|∇u|p)|x|-ap|∇u|p-2 (∂u/∂ν) = g(x)|u|q-2u, on ∂Ω, where 1
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2013/516093