Multiplicity and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent [PDF]
RACSAM, 2019 In present paper, we study the fractional Choquard equation ε2s(-Δ)su+V(x)u=εμ-N1|x|μ∗F(u)f(u)+|u|2s∗-2u\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Shaoxiong Chen, Yue Li, Zhi-Peng Yang
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Exponential Scattering for a Damped Hartree Equation
Fractal and Fractional, 2023 This note studies the linearly damped generalized Hartree equation iu˙−(−Δ)su+iau=±|u|p−2(Jγ∗|u|p)u ...
Talal Alharbi +2 more
doaj +1 more source
Modified fractional logistic equation [PDF]
, 2018 In the article (West, 2015), the author has obtained a function as the solution to fractional logistic equation (FLE). As demonstrated later in Area et al.
Sima Sarv Ahrabi +5 more
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Efficient solution of a wave equation with fractional-order dissipative terms [PDF]
, 2009 We consider a wave equation with fractional-order dissipative terms modeling viscothermal losses on the lateral walls of a duct, namely the Webster-Lokshin model.
Haddar, Houssem +6 more
core +1 more source
Advanced Nonlinear Studies, 2022 In this paper, we consider the following critical fractional magnetic Choquard equation: ε2s(−Δ)A∕εsu+V(x)u=εα−N∫RN∣u(y)∣2s,α∗∣x−y∣αdy∣u∣2s,α∗−2u+εα−N∫RNF(y,∣u(y)∣2)∣x−y∣αdyf(x,∣u∣2)uinRN,\begin{array}{rcl}{\varepsilon }^{2s}{\left(-\Delta )}_{A ...
Jin Zhen-Feng +2 more
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The Choquard Equation with Weighted Terms and Sobolev‐Hardy Exponent
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We study a nonlinear Choquard equation with weighted terms and critical Sobolev‐Hardy exponent. We apply variational methods and Lusternik‐Schnirelmann category to prove the multiple positive solutions for this problem.
Yanbin Sang +3 more
wiley +1 more source
On the multiplicity and concentration of positive solutions for a p-fractional Choquard equation in RN [PDF]
Computers and Mathematics with Applications, 2018 In this paper we deal with the following fractional Choquard equation \begin{equation*} \left\{ \begin{array}{ll} \varepsilon^{sp}(-\Delta)^{s}_{p} u + V(x)|u|^{p-2}u = \varepsilon^{\mu-N}\left(\frac{1}{|x|^{\mu}}*F(u)\right)f(u) \mbox{ in } \mathbb{R ...
V. Ambrosio
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Existence and concentration of positive solutions for a p-fractional Choquard equation
AIMS Mathematics, 2021 In this work, we study the existence, multiplicity and concentration behavior of positive solutions for the following problem involving the fractional $ p $-Laplacian \begin{document}$ \begin{eqnarray*} \varepsilon^{ps}(-\Delta )^{s}_{p}u + V(x)|u ...
Xudong Shang
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Concentration phenomena for the fractional relativistic Schrödinger-Choquard equation [PDF]
We consider the fractional relativistic Schrödinger-Choquard equation (equation presented), where ε > 0 is a small parameter, s (0, 1), m > 0, N > 2s, μ (0, 2s), (-δ + m2)s is the fractional relativistic Schrödinger operator, V: RN → R is a ...
Ambrosio V.
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Symmetry and nonexistence results for a fractional Choquard equation with weights
Discrete and Continuous Dynamical Systems. Series A, 2021 Let \begin{document}$ u $\end{document} be a nonnegative solution to the equation \begin{document}$ (-\Delta)^{\frac{\alpha}{2}} u = \left(\frac{1}{|x|^{n-\beta}} * |x|^a u^p \right) |x|^a u^{p-1} \quad\text{ in } \mathbb{R}^n \setminus \{0\}, $\end ...
A. Duong, Phuong Le, Nhut Nguyen
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