Multiplicity of Solutions for Nonlocal Elliptic System of(p,q)-Kirchhoff Type
نویسندگان
چکیده
منابع مشابه
Multiplicity of Solutions for Nonlocal Elliptic System of p, q -Kirchhoff Type
and Applied Analysis 3 where F x, t ∫ t 0 f x, s ds; one positive solutions for 1.7 was obtained. It is well known that condition AR plays an important role for showing the boundedness of Palais-Smale sequences. More recently, Corrêa and Nascimento in 13 studied a nonlocal elliptic system of p-Kirchhoff type
متن کاملOn nonlocal elliptic system of $p$-Kirchhoff-type in $mathbb{R}^N$
Using Nehari manifold methods and Mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.
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In this paper, we prove the existence of at least three solutions to the following Kirchhoff nonlocal fractional equation: M (∫ Rn×Rn |u(x)− u(y)| K(x− y)dxdy − ∫ Ω |u(x)|dx ) ((−∆)u− λu) ∈ θ(∂j(x, u(x)) + μ∂k(x, u(x))), in Ω, u = 0, in R \ Ω, where (−∆) is the fractional Laplace operator, s ∈ (0, 1) is a fix, λ, θ, μ are real parameters and Ω is an open bounded subset of R, n > 2s, with L...
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Copyright q 2010 Bitao Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems −a b Ω |∇u| 2 Δu f x, u, in Ω; u 0, on ∂Ω. Existe...
متن کاملon nonlocal elliptic system of $p$-kirchhoff-type in $mathbb{r}^n$
using nehari manifold methods and mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/526026