on nonlocal elliptic system of $p$-kirchhoff-type in $mathbb{r}^n$
Authors
abstract
using nehari manifold methods and mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-kirchhoff-type system are established.
similar resources
On nonlocal elliptic system of $p$-Kirchhoff-type in $mathbb{R}^N$
Using Nehari manifold methods and Mountain pass theorem, the existence of nontrivial and radially symmetric solutions for a class of $p$-Kirchhoff-type system are established.
full textOn a nonlocal elliptic system of p-Kirchhoff-type under Neumann boundary condition
Ω |∇u| )]p−1 ∆pu = f (u, v)+ ρ1(x) in Ω, − [ M2 (∫ Ω |∇v| )]p−1 ∆pv = g(u, v)+ ρ2(x) in Ω, ∂u ∂η = ∂v ∂η = 0 on ∂Ω, (1.1) where Ω ⊂ R,N ≥ 1, is a bounded smooth domain, 1 < p < N, η is the unit exterior vector on ∂Ω , ∆p is the p-Laplacian operator ∆pu = div(|∇u|p−2∇u) ∗ Corresponding author. E-mail addresses: [email protected], [email protected] (F.J.S.A. Corrêa), [email protected] (R.G. Na...
full textMultiplicity of Solutions for Nonlocal Elliptic System of p, q -Kirchhoff Type
and Applied Analysis 3 where F x, t ∫ t 0 f x, s ds; one positive solutions for 1.7 was obtained. It is well known that condition AR plays an important role for showing the boundedness of Palais-Smale sequences. More recently, Corrêa and Nascimento in 13 studied a nonlocal elliptic system of p-Kirchhoff type
full textOn 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,...
full textSolutions of a Nonlocal Elliptic Problem Involving p(x)-Kirchhoff-type Equation
The present paper deals with a Kirchhoff problem under homogeneous Dirichlet boundary conditions, set in a bounded smooth domain Ω of R^{N}. The problem studied is a stationary version of the orig inal Kirchhoff equation, involving the p(x)-Lap lacian operator, in the framework of the variable exponent Lebesgue and Sobolev spaces. The question of the existence of weak solutions is treated. Appl...
full textEXISTENCE OF POSITIVE SOLUTIONS FOR A QUASILINEAR ELLIPTIC SYSTEM OF p–KIRCHHOFF TYPE
In this paper, we consider the existence of positive solutions to the following p Kirchhoff-type system ⎧⎪⎨⎪⎪⎩ −M (∫ Ω |∇u|pdx ) Δpu = g(x)|u|q−2u+ α α+β |u|α−2u|v|β , x ∈Ω, −M (∫ Ω |∇u|pdx ) Δpv = h(x)|v|q−2v+ β α+β |u|α |v|β−2v, x ∈Ω, u = v = 0, x ∈ ∂Ω, where Ω is a bounded domain in RN , M(s) = a + bsk , Δpu = div(|∇u|p−2∇u) is the p Laplacian operator, α > 1 , β > 1 , 1 < p < q < α +β < p∗ ...
full textMy Resources
Save resource for easier access later
Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 42
issue 1 2016
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023