On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term
Francisco Julio S. A. Corrêa, Rúbia G. Nascimento
International Journal of Mathematics and Mathematical Sciences · 2008
doi:10.1155/2008/364085 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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