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On Uniqueness for the Generalized Choquard Equation
2020We consider the generalized Choquard equation describing trapped electron gas in three dimensional case. The study of orbital stability of the energy minimizers (known as ground states) depends essentially in the local uniqueness of these minimizers. The uniqueness of the minimizers for the case p = 2, i.e.
Georgiev V., Venkov G.
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Choquard-type equation with competing coefficients
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Fuyi, Long, Lei, Liang, Zhanping
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On damped non-linear Choquard equations
Boletín de la Sociedad Matemática Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Binhua Feng, Tarek Saanouni
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Multibump Solutions for Critical Choquard Equation
SIAM Journal on Mathematical AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiankang Xia, Xu Zhang
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STABLE SOLUTIONS TO THE STATIC CHOQUARD EQUATION
Bulletin of the Australian Mathematical Society, 2020This paper is concerned with the static Choquard equation $$\begin{eqnarray}-\unicode[STIX]{x1D6E5}u=\bigg(\frac{1}{|x|^{N-\unicode[STIX]{x1D6FC}}}\ast |u|^{p}\bigg)|u|^{p-2}u\quad \text{in }\mathbb{R}^{N},\end{eqnarray}$$ where $N,p>2$ and $\max \{0,N-4\}<\unicode[STIX]{x1D6FC}<N$.
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Semiclassical states for critical Choquard equations
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Shijie, Zou, Wenming
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Choquard equations with saturable reaction
Calculus of Variations and Partial Differential EquationszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juntao Sun +3 more
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Scattering for a Radial Defocusing Inhomogeneous Choquard Equation
Acta Applicandae Mathematicae, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tarek Saanouni, Congming Peng
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The Periodic Choquard Equation
2000For a nonlinear periodic eigenvalue problem of the Choquard type we prove the existence of a countable set of normalized eigenfunctions.
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Saddle solutions for the Choquard equation
Calculus of Variations and Partial Differential Equations, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Jiankang, Wang, Zhi-Qiang
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