Results 91 to 100 of about 628 (105)

Concentration phenomena for the fractional relativistic Schrödinger–Choquard equation

Communications in Contemporary Mathematics
We consider the fractional relativistic Schrödinger–Choquard equation [Formula: see text] where [Formula: see text] is a small parameter, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is the fractional relativistic Schrödinger operator, [Formula: see text] is a continuous potential having a ...
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Multiplicity and Concentration Results for a Fractional Choquard Equation

2020
This chapter deals with the following class of nonlinear fractional Choquard problems: $$\displaystyle \left \{ \begin {array}{ll} \operatorname {\mathrm {\varepsilon }}^{2s}(-\Delta )^{s} u + V(x)u = \operatorname {\mathrm {\varepsilon }}^{\mu -N}\left (\frac {1}{|x|{ }^{\mu }}*F(u)\right )f(u) &\mbox{ in } \mathbb {R}^{N},\\ u\in H^{s}(\mathbb {R}
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Soliton Solutions for Fractional Choquard Equations

Progress in Fractional Differentiation and Applications, 2021
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Multiplicity and Concentration Properties for Fractional Choquard Equations with Exponential Growth

The Journal of Geometric Analysis
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Shuaishuai Liang, Shaoyun Shi, Thin Van Nguyen   +2 more
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Concentration phenomena for a fractional Choquard–Kirchhoff equation with magnetic field

Journal of Mathematical Physics
By using the variational methods and the Ljusternik–Schnirelmann theory, we investigate the multiplicity and concentration of positive solutions for a fractional Choquard–Kirchhoff equation with magnetic field.
Tiantian Liu, Aixia Qian
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Normalized solutions of fractional Choquard equation with critical nonlinearity

Differential and Integral Equations, 2023
Zhaosheng Feng, Xiaoming He, Yuxi Meng
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Normalized Ground States for the Critical Fractional Choquard Equation with a Local Perturbation

Journal of Geometric Analysis, 2022
Xiaoming He, Vicenţiu D Rădulescu
exaly  

Symmetry and monotonicity of positive solutions for a Choquard equation with the fractional Laplacian

Complex Variables and Elliptic Equations, 2022
Zuodong Yang
exaly  

Ground states for nonlinear fractional Choquard equations with general nonlinearities

Mathematical Methods in the Applied Sciences, 2016
Zifei Shen, Minbo Yang
exaly  

The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions

Nonlinear Analysis: Theory, Methods & Applications, 2019
Xiaoming He
exaly