Results 11 to 20 of about 13,570 (54)
We consider the following Schrödinger–Bopp–Podolsky problem: { − Δ u + V ( x ) u + ϕ u = λ f ( u ) + | u | 4 u , in R 3 , − Δ ϕ + Δ 2 ϕ = u 2 , in R 3 .
Jie Yang, Haibo Chen, Senli Liu
doaj +1 more source
This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the nth-order nonlocal boundary value problem with impulse effects. The arguments are based upon fixed point theorems in a cone.
Meiqiang Feng +2 more
doaj +1 more source
This paper aims to extend the Caputo–Atangana–Baleanu ( A B C $ABC$ ) and Riemann–Atangana–Baleanu ( A B R $ABR$ ) fractional derivatives with respect to another function, from fractional order μ ∈ ( 0 , 1 ] $\mu \in (0,1]$ to an arbitrary order μ ∈ ( n ,
Thabet Abdeljawad +4 more
doaj +1 more source
In this paper, we discuss the nonlinear boundary problem for first-order impulsive semilinear differential inclusions. We establish existence results by using Martelli’s fixed point theorem with upper and lower solutions method.
Yan Luo
doaj +1 more source
Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
doaj +1 more source
Existence of nonconstant periodic solutions for p(t) $p(t)$-Laplacian Hamiltonian system
The purpose of this paper is to consider the existence of periodic solutions for the p(t) $p(t)$-Laplacian Hamiltonian system. Some results are obtained by using the least action principle and the minimax methods.
Yuanfang Ru, Fanglei Wang
doaj +1 more source
This paper deals with the homogeneous Neumann boundary value problem for chemotaxis system { u t = Δ u − ∇ ⋅ ( u ∇ v ) + κ u − μ u α , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , $$\begin{aligned} \textstyle\begin{cases} u_{t} = \Delta u - \nabla ...
Ke Jiang, Yongjie Han
doaj +1 more source
Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈â„ÂN, N≥3, where ...
Zuodong Yang, Bing Xu
doaj +1 more source
L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation
In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
doaj +1 more source
This article concerns the Hamiltonian elliptic system: {−Δφ+V(x)φ=Gψ(x,φ,ψ)in RN,−Δψ+V(x)ψ=Gφ(x,φ,ψ)in RN,φ,ψ∈H1(RN). $$ \textstyle\begin{cases} -\Delta \varphi +V(x)\varphi =G_{\psi }(x,\varphi ,\psi ) & \mbox{in } \mathbb {R}^{N}, \\ -\Delta \psi +V(x)\
Yubo He, Dongdong Qin, Dongdong Chen
doaj +1 more source

