On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term
Questions on the existence of positive solutions for the following class of elliptic problems are studied: −[M(‖u‖1,pp)]1,pΔpu=f(x,u), in Ω, u=0, on ∂Ω, where Ω⊂ℝN is a bounded smooth domain, f:Ω¯×ℝ+→ℝ and M:ℝ+→ℝ, ℝ+=[0,∞) are given functions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/364085 |