Results 1 to 10 of about 132 (66)

Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity

Advances in Nonlinear Analysis, 2016
We study the following nonlinear Choquard equation:
Alves Claudianor O., Figueiredo Giovany M., Yang Minbo   +2 more
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Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth

Advances in Nonlinear Analysis, 2020
In this paper, we study the singularly perturbed fractional Choquard ...
Yang Zhipeng, Zhao Fukun
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Infinitely many non-radial solutions for a Choquard equation

Advances in Nonlinear Analysis, 2022
In this article, we consider the non-linear Choquard equation −Δu+V(∣x∣)u=∫R3∣u(y)∣2∣x−y∣dyuinR3,-\Delta u+V\left(| x| )u=\left(\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}\frac{| u(y){| }^{2}}{| x-y| }{\rm{d}}y\right)u\hspace{1.0em}\hspace{0.1em}\text{in}\
Gao Fashun, Yang Minbo
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Nonlocal perturbations of the fractional Choquard equation

Advances in Nonlinear Analysis, 2017
We study the ...
Singh Gurpreet
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Remarks on damped Schrödinger equation of Choquard type [PDF]

Opuscula Mathematica, 2021
This paper is devoted to the Schrödinger-Choquard equation with linear damping. Global existence and scattering are proved depending on the size of the damping coefficient.
Lassaad Chergui
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Existence and Concentration of Solutions for Choquard Equations with Steep Potential Well and Doubly Critical Exponents

Advanced Nonlinear Studies, 2021
In this paper, we investigate the non-autonomous Choquard ...
Li Yong-Yong, Li Gui-Dong, Tang Chun-Lei
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Existence of Ground State Solutions for Choquard Equation with the Upper Critical Exponent

Fractal and Fractional, 2023
In this article, we investigate the existence of a nontrivial solution for the nonlinear Choquard equation with upper critical exponent see Equation (6). The Riesz potential in this case has never been studied.
Sarah Abdullah Qadha, Haibo Chen, Muneera Abdullah Qadha   +2 more
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Ground State Solutions of Fractional Choquard Problems with Critical Growth

Fractal and Fractional, 2023
In this article, we investigate a class of fractional Choquard equation with critical Sobolev exponent. By exploiting a monotonicity technique and global compactness lemma, the existence of ground state solutions for this equation is obtained.
Jie Yang, Hongxia Shi
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Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity

Mathematics, 2019
In this paper, we study a class of nonlinear Choquard equation driven by the fractional Laplacian. When the potential function vanishes at infinity, we obtain the existence of a ground state solution for the fractional Choquard equation by using a non ...
Huxiao Luo, Shengjun Li, Chunji Li
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Ground state for Choquard equation with doubly critical growth nonlinearity

Electronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper we consider nonlinear Choquard equation \begin{equation*} -\Delta u+V(x)u=(I_\alpha*F(u))f(u)\quad {\rm in}\ \mathbb{R}^{N}, \end{equation*} where $V\in C(\mathbb{R}^N)$, $I_\alpha$ denotes the Riesz potential, $f(t)=|t|^{p-2}t+|t|^{q-2}t ...
Fuyi Li, Lei Long, Yongyan Huang, Zhanping Liang   +3 more
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