A uniqueness result for a nonlocal equation of Kirchhoff type and some related open problem
نویسندگان
چکیده
منابع مشابه
On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type
We study the existence of positive solutions to the following nonlocal boundary value problem −K ‖u‖2 Δu λus−1 f x, u inΩ, u 0 on ∂Ω, where s ∈ 1, 2 , f : Ω×R → R is a Carathéodory function,K : R → R is a positive continuous function, and λ is a real parameter. Direct variational methods are used. In particular, the proof of the main result is based on a property of the infimum on certain spher...
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چکیده ندارد.
Positive Solutions for a Nonlocal Fourth Order Equation of Kirchhoff Type
Existence and multiplicity of positive solutions for the fourth order equation u′′′′ − M( ∫ 1 0 |u ′|2 dx)u′′ = q(x)f(x, u, u′), which models simply supported extensible beams, are considered using fixed point theorems in cones of ordered Banach spaces.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.07.019