The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity
نویسندگان
چکیده
منابع مشابه
Existence and multiplicity of positive solutions for a class of p(x)-Kirchhoff type equations
* Correspondence: [email protected] Department of Mathematics, Northwest Normal University, Lanzhou 730070, P. R. China Abstract In this article, we study the existence and multiplicity of positive solutions for the Neumann boundary value problems involving the p(x)-Kirchhoff of the form ⎪⎨⎪⎩ −M (∫ 1 p(x) (|∇u|p(x) + λ|u|p(x))dx ) (div (|∇u|p(x)−2∇u) − λ|u|p(x)−2u) = f (x, u) in , ∂u ∂v = 0...
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In this paper, we establish the existence and multiplicity of solutions to the following fractional Kirchhoff-type problem M(∥u∥)(−∆)u = f(x, u(x)), in Ω u = 0 in R\Ω, where N > 2s with s ∈ (0, 1), Ω is an open bounded subset of R with Lipschitz boundary, M and f are two continuous functions, and (−∆) is a fractional Laplace operator. Our main tools are based on critical point theorems and the ...
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Existence of a ground state solution for a class of $p$-laplace equations
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A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2019
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2019/3713909