Positive solution for the Kirchhoff-type equations involving general subcritical growth
نویسندگان
چکیده
منابع مشابه
Positive solutions for asymptotically periodic Kirchhoff-type equations with critical growth
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 ...
متن کاملpositive solutions for asymptotically periodic kirchhoff-type equations with critical growth
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 ...
متن کاملMultiplicity result to some Kirchhoff-type biharmonic equation involving exponential growth conditions
In this paper, we prove a multiplicity result for some biharmonic elliptic equation of Kirchhoff type and involving nonlinearities with critical exponential growth at infinity. Using some variational arguments and exploiting the symmetries of the problem, we establish a multiplicity result giving two nontrivial solutions.
متن کاملMultiple Positive Solutions for Kirchhoff Type Problems Involving Concave and Convex Nonlinearities in R
In this article, we consider the multiplicity of positive solutions for a class of Kirchhoff type problems with concave and convex nonlinearities. Under appropriate assumptions, we prove that the problem has at least two positive solutions, moreover, one of which is a positive ground state solution. Our approach is mainly based on the Nehari manifold, Ekeland variational principle and the theor...
متن کاملmultiplicity result to some kirchhoff-type biharmonic equation involving exponential growth conditions
in this paper, we prove a multiplicity result for some biharmonic elliptic equation of kirchhoff type and involving nonlinearities with critical exponential growth at infinity. using some variational arguments and exploiting the symmetries of the problem, we establish a multiplicity result giving two nontrivial solutions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2016
ISSN: 1534-0392
DOI: 10.3934/cpaa.2016.15.445