Results 41 to 50 of about 1,746 (107)

Nehari-type ground state solutions for a Choquard equation with doubly critical exponents

Advances in Nonlinear Analysis, 2020
This paper deals with the following Choquard equation with a local nonlinear perturbation:
Chen Sitong, Tang Xianhua, Wei Jiuyang
doaj   +1 more source

Effects of Brownian noise strength on new chiral solitary structures

Journal of Low Frequency Noise, Vibration and Active Control, 2023
In this paper, we investigate the nonlinear Chiral Schrödinger equation (CNLSE) in two dimensions where noise term affected randomly with time. This equation characterized some edges states of fractional-Hall Effect features in quantum.
Yousef F Alharbi, Emad K El-Shewy, Mahmoud AE Abdelrahman   +2 more
doaj   +1 more source

Improved results on planar Klein-Gordon-Maxwell system with critical exponential growth

Advances in Nonlinear Analysis
This work is concerned with the following Klein-Gordon-Maxwell system: −Δu+V(x)u−(2ω+ϕ)ϕu=f(u),x∈R2,Δϕ=(ω+ϕ)u2,x∈R2,\left\{\begin{array}{ll}-\Delta u+V\left(x)u-\left(2\omega +\phi )\phi u=f\left(u),\hspace{1.0em}& x\in {{\mathbb{R}}}^{2},\\ \Delta \phi =
Wen Lixi, Jin Peng
doaj   +1 more source

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation

Advances in Nonlinear Analysis
In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain the
Shan Minjie, Chen Mingjuan, Lu Yufeng, Wang Jing   +3 more
doaj   +1 more source

Singularly perturbed Choquard equations with nonlinearity satisfying Berestycki-Lions assumptions

Advances in Nonlinear Analysis, 2019
In the present paper, we consider the following singularly perturbed problem:
Tang Xianhua, Chen Sitong
doaj   +1 more source

Local minimizers for the NLS equation with localized nonlinearity on noncompact metric graphs

Open Mathematics
We investigate the existence of local minimizers for the nonlinear Schrödinger (NLS) equation with localized nonlinearity on noncompact metric graphs. In the absence of ground states, we prove that normalized local minimizers of the NLS equation do exist
Li Xiaoguang
doaj   +1 more source

Local and global well-posedness of the Maxwell-Bloch system of equations with inhomogeneous broadening

Advances in Nonlinear Analysis
The Maxwell-Bloch system of equations with inhomogeneous broadening is studied, and the local and global well-posedness of the corresponding initial-boundary value problem is established by taking advantage of the integrability of the system and making ...
Biondini Gino, Prinari Barbara, Zhang Zechuan   +2 more
doaj   +1 more source

Nonlinear nonlocal elliptic problems in ℝ3: existence results and qualitative properties

Demonstratio Mathematica
We consider the following nonlinear nonlocal elliptic problem: −a+b∫R3∣∇ψ∣2dxΔψ+λψ=∫R3G(ψ(y))∣x−y∣αdyG′(ψ),x∈R3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla \psi | }^{2}{\rm{d}}x\right)\Delta \psi +\lambda \psi =\left(\mathop{\int ...
Lü Dengfeng, Dai Shu-Wei
doaj   +1 more source

Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation

Advances in Nonlinear Analysis, 2020
In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard ...
Binhua Feng, Chen Ruipeng, Liu Jiayin
doaj   +1 more source

Sharp threshold for global existence and blowup in the focusing nonlinear Schrödinger equation with inverse-square potential

Advances in Nonlinear Analysis
This paper examines the focusing nonlinear Schrödinger equation with an inverse-square potential in RN(N≥3) ${\mathbb{R}}^{N} \left(N\ge 3\right)$ , where the nonlinear exponent lies between the mass-critical and energy-subcritical regimes.
Lin Qiang, Chen Shaohua
doaj   +1 more source