Results 11 to 20 of about 13,570 (54)

The existence of nontrivial solution of a class of Schrödinger–Bopp–Podolsky system with critical growth

open access: yesBoundary Value Problems, 2020
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

Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions

open access: yesBoundary Value Problems, 2011
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

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

open access: yesBoundary Value Problems, 2023
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

Existence results for impulsive semilinear differential inclusions with nonlinear boundary conditions

open access: yesBoundary Value Problems, 2018
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

open access: yesBoundary Value Problems, 2009
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

open access: yesBoundary Value Problems, 2019
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

How far does logistic dampening influence the global solvability of a high-dimensional chemotaxis system?

open access: yesBoundary Value Problems, 2021
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

open access: yesBoundary Value Problems, 2007
We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈ℝN, N≥3, where ...
Zuodong Yang, Bing Xu
doaj   +1 more source

L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation

open access: yesBoundary Value Problems, 2021
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

Ground state solutions for Hamiltonian elliptic systems with super or asymptotically quadratic nonlinearity

open access: yesBoundary Value Problems, 2019
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

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