Results 81 to 90 of about 628 (105)

Semiclassical States of Fractional Choquard Equations with Exponential Critical Growth

The Journal of Geometric Analysis, 2022
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Yuan, Shuai, Tang, Xianhua, Zhang, Jian, Zhang, Limin   +3 more
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Well-Posedness and Blow-Up for the Fractional Schrödinger-Choquard Equation

Journal of Partial Differential Equations, 2023
Summary: In this paper, we study the well-posedness and blow-up solutions for the fractional Schrödinger equation with a Hartree-type nonlinearity together with a power-type subcritical or critical perturbations. For nonradial initial data or radial initial data, we prove the local well-posedness for the defocusing and the focusing cases with ...
Tao, Lu, Zhao, Yajuan, Li, Yongsheng
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Fractional Kirchhoff–Choquard equation involving Schrödinger term and upper critical exponent

The Journal of Geometric Analysis, 2021
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Yanbin Sang, Sihua Liang
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Blow-up of ground states of fractional Choquard equations

Nonlinear Analysis, 2022
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Vilasi L., Wang Y.
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Semiclassical states for fractional Choquard equations with critical frequency

Complex Variables and Elliptic Equations, 2018
In this paper, we study the semiclassical states for the fractional Choquard equation ϵ2s(−Δ)su+V(x)u=(Iα∗|u|p)|u|p−2uin RN, where s∈(0,1), N>2s, (N+α)/N=p_≤p≤p¯=(N+α)/(N−2s), α∈(0,N) and Iα=1/|x|N...
Xinfu Li, Meiling Zhu
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Multiplicity and concentration results for fractional Choquard equations: Doubly critical case

Nonlinear Analysis, 2020
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Su, Yu, Wang, Li, Chen, Haibo, Liu, Senli   +3 more
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Potential well theory for the focusing fractional Choquard equation

Journal of Mathematical Physics, 2020
This note studies the non-linear fractional Schrödinger equation iu̇−(−Δ)su+(Iα*|u|p)|u|p−2u=0. In the mass super-critical and energy sub-critical regimes, the local solutions exist globally and scatter in the energy space or blow-up in finite time if the data belong to some stable sets.
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Small linear perturbations of fractional Choquard equations with critical exponent

Journal of Differential Equations, 2021
The authors study a fractional Choquard problem involving a pure critical nonlinearity. They show the existence of a high energy solution of the problem, whose associated energy functional satisfies suitable inequalities. In detail, the authors establish a Struwe-type global compactness result for Palais-Smale sequences of the above mentioned energy ...
Xiaoming He, Vicenţiu D. Rădulescu
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Semiclassical States for Fractional Choquard Equations With a Potential Well

Mathematical Methods in the Applied Sciences
ABSTRACTIn this paper, we studied the existence and concentration behavior of positive solutions for a fractional Choquard equation involving a small parameter and a nonlocal nonlinearity. Under suitable assumptions on the potential function and the nonlinear term, we established two main results.
Jie Yang, Haibo Chen
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Pseudoindex theory and Nehari method for a fractional Choquard equation

Pacific Journal of Mathematics, 2020
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Liu, Min, Tang, Zhongwei
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