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Positive solutions with prescribed mass for a planar Choquard equation [PDF]
We study normalised solutions for a Choquard equation in the plane with polynomial Riesz kernel and exponential nonlinearities, which are critical in the sense of Trudinger-Moser.
Romani, Giulio, Huan, Ling
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Existence and mass collapse behavior of standing waves for Choquard equation with rotation
We are concerned with the existence and mass collapse behavior of standing waves with the prescribed mass for the Choquard equation with rotation, which serves as a model to describe the Bose–Einstein condensate of nonrelativistic particles with rotation
Su, Yu, Feng, Zhaosheng
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Fractional p-Kirchhoff equation with Sobolev and Choquard singular nonlinearities
In the present work, we consider a fractional p-Kirchhoff equation in the entire space R^N featuring doubly nonlinearities, involving a generalized nonlocal Choquard subcritical term together with a local critical Sobolev term; the problem also includes ...
Miyagaki, Olímpio Hiroshi +2 more
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Saddle solutions for the Choquard equation II
Nonlinear Analysis, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Zhi-Qiang, Xia, Jiankang
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Quasilinear Choquard equation with critical exponent
Journal of Mathematical Analysis and Applications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongxia Shi, Yu Su
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Sign-changing solutions to the critical Choquard equation
Applied Mathematics Letters, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaorong Luo, Anmin Mao
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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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On nodal solutions of the fractional Choquard equation
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ying-Xin Cui
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On critical Choquard equation with potential well
Discrete and Continuous Dynamical Systems, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minbo Yang, Zifei Shen, Fashun Gao
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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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