Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
نویسندگان
چکیده
منابع مشابه
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
Existence and bifurcation of positive solutions to a Kirchhoff type equation ⎧⎪⎨ ⎪⎩ − ( a + b ∫ Ω |∇u|2 ) u= νf (x,u), in Ω, u= 0, on ∂Ω are considered by using topological degree argument and variational method. Here f is a continuous function which is asymptotically linear at zero and is asymptotically 3-linear at infinity. The new results fill in a gap of recent research about the Kirchhoff ...
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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: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2014
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.01.006