positive solutions for asymptotically periodic kirchhoff-type equations with critical growth
نویسندگان
چکیده
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 solutions for kirchhoff-type equations with a nonlinearity in the critical growth under some suitable assumptions on $v(x)$ and $f(x,u)$. recent results from the literature are improved and extended.
منابع مشابه
Positive solutions for asymptotically periodic Kirchhoff-type equations with critical growth
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عنوان ژورنال:
bulletin of the iranian mathematical societyجلد ۴۳، شماره ۱، صفحات ۱۴۷-۱۶۱
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