POSITIVE SOLUTIONS TO p-KIRCHHOFF-TYPE ELLIPTIC EQUATION WITH GENERAL SUBCRITICAL GROWTH
نویسندگان
چکیده
منابع مشابه
On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term
Questions on the existence of positive solutions for the following class of elliptic problems are studied: − M ‖u‖p1,p 1,p Δpu f x, u , in Ω, u 0, on ∂Ω, where Ω ⊂ R is a bounded smooth domain, f : Ω ×R → R and M : R → R, R 0,∞ are given functions. Copyright q 2008 F. J. S. A. Corrêa and R. G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License,...
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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: Bulletin of the Korean Mathematical Society
سال: 2017
ISSN: 1015-8634
DOI: 10.4134/bkms.b160467