Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
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 consider the following kirchhoff-type equations: $-left(a+bint_{mathbb{r}^{3}}|nabla u|^{2}right)delta u+v(x) u=lambda$ $f(x,u)+u^{5}, quad mbox{in }mathbb{r}^{3},$ $u(x)>0, quad mbox{in }mathbb{r}^{3},$ $uin h^{1}(mathbb{r}^{3}) ,$ where $a,b>0$ are constants and $lambda$ is a positive parameter. the aim of this paper is to study the existence of positive ...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2019
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-019-02385-8