On doubly nonlocal $p$-fractional coupled elliptic system
نویسندگان
چکیده
منابع مشابه
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.
متن کاملon 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.
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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...
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We consider the following elliptic system with fractional Laplacian −(−∆)su = uv, −(−∆)sv = vu, u, v > 0 on R, where s ∈ (0, 1) and (−∆)s is the s-Lapalcian. We first prove that all positive solutions must have polynomial bound. Then we use the Almgren monotonicity formula to perform a blown-down analysis. Finally we use the method of moving planes to prove the uniqueness of the one dimensional...
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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
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2018
ISSN: 1230-3429
DOI: 10.12775/tmna.2018.018