Results 91 to 100 of about 1,353 (146)

Standing waves for Choquard equation with noncritical rotation

Advances in Nonlinear Analysis
We investigate the existence and stability of standing waves with prescribed mass c>0c\gt 0 for Choquard equation with noncritical rotation in Bose-Einstein condensation. Then, we consider the mass collapse behavior of standing waves, the ratio of energy
Mao Yicen, Yang Jie, Su Yu
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Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

Boundary Value Problems, 2019
In this paper, we consider the sharp thresholds of blow-up and global existence for the nonlinear Schrödinger–Choquard equation i ψ t + Δ ψ = λ 1 | ψ | p 1 ψ + λ 2 ( I α ∗ | ψ | p 2 ) | ψ | p 2 − 2 ψ .
Yongbin Wang, Binhua Feng
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Existence of solutions for fractional p-Kirchhoff type equations with a generalized Choquard nonlinearities

, 2018
In this article, we establish the existence of solutions to the fractional $p-$Kirchhoff type equations with a generalized Choquard nonlinearities without assuming the Ambrosetti-Rabinowitz ...
Chen, Wenjing
core  

Ground state solutions for a nonlinear Choquard equation

, 2016
We discuss the existence of ground state solutions for the Choquard equation $$- u=(I_ *F(u))F'(u)\quad\quad\quad\text{in }\mathbb R^N.$$ We prove the existence of solutions under general hypotheses, investigating in particular the case of a homogeneous nonlinearity $F(u)=\frac{|u|^p}p$.
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Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in ℝ^N

Fractal and Fractional
In this paper, we study the existence of multiple normalized solutions for a Choquard equation involving fractional p-Laplacian in RN. With the help of variational methods, minimization techniques, and the Lusternik–Schnirelmann category, the existence ...
Xin Zhang, Sihua Liang
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Scattering threshold for the focusing energy-critical generalized Hartree equation

Open Mathematics
This work investigates the asymptotic behavior of energy solutions to the focusing nonlinear Schrödinger equation of Choquard type i∂tu+Δu+∣u∣p−2(Iα*∣u∣p)u=0,p=1+2+αN−2,N≥3.i{\partial }_{t}u+\Delta u+{| u| }^{p-2}\left({I}_{\alpha }* {| u| }^{p})u=0 ...
Almuthaybiri Saleh, Peng Congming, Saanouni Tarek   +2 more
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Nonlinear Choquard equations involving nonlocal operators

, 2017
In this paper, we study nonlinear Choquard equations \begin{equation}\label{eq 1a1-} (- +id)^{\frac{1}{2}}u=(I_ *{|u|^p})|u|^{p-2}u\ \ {\rm in} \ \ \mathbb{R}^N, \ \ \ u\in H^{\frac{1}{2}}(\mathbb{R}^N), \end{equation} where $(- +id)^\frac{1}{2}$ is a nonlocal operator, $p>0$, $N\geq2$ and $I_ $ is the Riesz potential with order $ \in(0,N)$. We
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Positive Ground State Solutions for Fractional (p, q)-Laplacian Choquard Equation with Singularity and Upper Critical Exponent

Fractal and Fractional
We prove the existence of a positive ground state solution for a fractional (p,q)-Laplacian Choquard equation that features both a singularity and an upper critical exponent.
Zhenyu Bai, Chuanzhi Bai
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Multiple nodal solutions of nonlinear Choquard equations

Electronic Journal of Differential Equations, 2017
In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation $$\displaylines{ -\Delta u+u=(|x|^{-1}\ast|u|^p)|u|^{p-2}u \quad \text{in }\mathbb{R}^3,\cr u\in H^1(\mathbb{R}^3), }$$ where $p\in (5/2,5 ...
Zhihua Huang, Jianfu Yang, Weilin Yu
doaj  

Nonlocal Pertubations of Fractional Choquard Equation

, 2017
17 ...
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