Results 71 to 80 of about 1,216,221 (148)

Orbital stability of generalized Choquard equation [PDF]

Boundary Value Problems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Xing, Sun, Xiaomei, Lv, Wenhua
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Normalized solutions for the Choquard equation with potential and combined nonlinearities

Advances in Nonlinear Analysis
In this paper, we study multiple normalized solutions for the following Choquard equation:
Xing Wenjun, Suo Hongmin, Lei Chunyu
doaj   +1 more source

Vortex-type solutions to a magnetic nonlinear Choquard equation [PDF]

, 2015
Artículo de publicación ISIWe consider the stationary nonlinear magnetic Choquard equation where is a magnetic potential and is a bounded electric potential.
Salazar, Dora
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Choquard equations with recurrent potentials

Advances in Nonlinear Analysis
Abstract In this article, we are concerned with the existence of nontrivial solutions to the Choquard equation − Δ u + α
Ding, Hui-Sheng, Liu, Quan, Long, Wei, Zhong, Lan   +3 more
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Normalized solutions for the Choquard equation with mass supercritical nonlinearity [PDF]

, 2022
We consider the nonlinear Choquard equation $$\begin{cases} & - \Delta u = (I_\alpha \ast F(u))F'(u) -\mu u \ \text{in}\ \mathbb{R}^N, & u \in \ H^1(\mathbb{R}^N), \ \int_{\mathbb{R}^N} |u|^2 dx=m, \end{cases} $$ where $\alpha\in(0,N)$, $m>0$ is ...
Xu, Na, Ma, Shiwang
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A Choquard equation with an almost periodic term

Advanced Nonlinear Studies
We consider the existence of nontrivial solution u∈H1(RN) $u\in {H}^{1}\left({\mathbb{R}}^{N}\right)$ for the following nonlinear Choquard equation with an almost periodic ...
Liu Quan, Long Wei
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Coron Problem for Nonlocal Equations Involving Choquard Nonlinearity

Advanced Nonlinear Studies, 2019
Abstract We consider the following Choquard equation: {
Divya Goel, Vicenţiu D. Rădulescu, K. Sreenadh   +2 more
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Dual formulation for constraint solutions of the multi-state Choquard equation [PDF]

The Choquard equation is a partial differential equation that has gained significant interest and attention in recent decades. It is a nonlinear equation that combines elements of both the Laplace and Schr\"odinger operators, and it arises frequently in ...
Wolansky, Gershon
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Multiple normalized solutions for Choquard equation involving the biharmonic operator and competing potentials in

Bulletin of Mathematical Sciences
This paper is concerned with the existence of multiple normalized solutions for a class of Choquard equation involving the biharmonic operator and competing potentials in [Formula: see text]: Δ2u+V(𝜀x)u=λu+G(𝜀x)(Iμ∗F(u))f(u)in ℝN,∫ℝN|u|2dx=c2, where ...
Shuaishuai Liang, Jiaying Ma, Shaoyun Shi, Yueqiang Song   +3 more
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Existence of least energy solutions for a quasilinear Choquard equation [PDF]

The present paper is devoted to the quasilinear Choquard equation driven by the p-Laplacian operator (Formula presented) where 2 ≤ p < N, Iα denotes the Riesz potential of order α ∈ (0, N), and G ∈ C1(R, R).
Ambrosio V., Autuori G., Isernia T.
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