Results 101 to 110 of about 1,494,768 (123)

Multiplicity and Concentration Results for Some Fractional Double Phase Choquard Equation with Exponential Growth

Asymptotic Analysis
In this paper, we study the fractional Choquard equation in R N ε ps ( − Δ ) p s u + ε qs ( − Δ ) q s u + V ( x ) ( | u | p − 2 u + | u | q − 2 u ) = ε μ − N [ | x | − μ * F ( u ) ] f ( u ) , where ε is a positive parameter, N = p s , 2 ≤ p < q , s ∈ ( 0
Si-Hua Liang, Patrizia Pucci, Thi Hong Van Nguyen   +2 more
semanticscholar   +1 more source

Ground State Solutions for the Choquard Equation With the Lower Critical Exponent and Riesz Fractional Laplacian

Mathematical methods in the applied sciences
In this study, we explore both the nonexistence and existence of a nonzero solution for the following Choquard equation (CE): −∆u+𝒱(ϰ)u=−∆D0−α2*|u|αN+1|u|αN−1u,inℝN,u∈H1ℝN, where α∈(0,N),N≥3,$$ \alpha \in \left(0,N\right),N\ge 3, $$ * represents the ...
Sarah Abdullah Qadha, Haibo Chen, Muneera Abdullah Qadha   +2 more
semanticscholar   +1 more source

Positive Solutions for a Class of Fractional Choquard Equation in Exterior Domain

Milan Journal of Mathematics, 2022
César T. Ledesma, O. Miyagaki
semanticscholar   +1 more source

Sign-changing solutions for a fractional Choquard equation with power nonlinearity

Nonlinear Analysis, 2022
Shunneng Zhao, Yuan-Yang Yu
semanticscholar   +1 more source

Bound state solutions of fractional Choquard equation with Hardy–Littlewood–Sobolev critical exponent

Computational and Applied Mathematics, 2021
Xiao-Long Yang
semanticscholar   +1 more source

Remarks on the nonlinear fractional Choquard equation

Fractional Calculus and Applied Analysis
V. Ambrosio
semanticscholar   +1 more source

Existence and asymptotic behavior of normalized solutions for the HLS lower critical fractional Choquard equation with a local perturbation

Communications in nonlinear science & numerical simulation
Hong‐Rui Sun, Ding-Wen Zhang, Ziheng Zhang   +2 more
semanticscholar   +1 more source

Ground States Solutions for a Modified Fractional Schrödinger Equation with a Generalized Choquard Nonlinearity

Journal of Contemporary Mathematical Analysis, 2022
Nemat Nyamoradi
exaly  

Existence and nonexistence of solutions for a fractional Choquard equation with critical Sobolev exponents in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength

Zeitschrift für Angewandte Mathematik und Physik
R. Echarghaoui, Rachid Sersif
semanticscholar   +1 more source

On the multiplicity and concentration of positive solutions for a p-fractional Choquard equation in RN

Computers and Mathematics With Applications, 2019
Vincenzo Ambrosio
exaly