Results 21 to 30 of about 1,494,768 (123)
Linear Barycentric Rational Method for Solving Schrodinger Equation
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A linear barycentric rational collocation method (LBRCM) for solving Schrodinger equation (SDE) is proposed. According to the barycentric interpolation method (BIM) of rational polynomial and Chebyshev polynomial, the matrix form of the collocation method (CM) that is easy to program is obtained.
Peichen Zhao, Yongling Cheng, Ram Jiwari
wiley +1 more source
Saddle solutions for the fractional Choquard equation [PDF]
Zeitschrift für Angewandte Mathematik und Physik, 2021 We study the saddle solutions for the fractional Choquard equation (-Δ)su+u=(Kα∗|u|p)|u|p-2u,x∈RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \
Ying-Xin Cui, Jiankang Xia
semanticscholar +1 more source
Existence of Solutions for Choquard Type Elliptic Problems with Doubly Critical Nonlinearities
Advanced Nonlinear Studies, 2021 In this article, we first study the existence of nontrivial solutions to the nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians and the Hardy–Sobolev–Maz’ya potential.
Shen Yansheng
doaj +1 more source
Fractional Choquard equation with critical nonlinearities [PDF]
, 2016 In this article, we study the Brezis–Nirenberg type problem of nonlinear Choquard equation involving the fractional Laplacian $$\begin{aligned} (-\Delta )^s u = \left( \int _{\Omega }\frac{|u|^{2^*_{\mu ,s}}}{|x-y|^{\mu }}\mathrm {d}y \right) |u|^{2^*_ ...
T. Mukherjee, K. Sreenadh
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The Existence of Normalized Solutions for a Nonlocal Problem in ℝ3
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, we study the following fractional Schrödinger equation in ℝ3(−Δ)σu − λu = |u|p−2u, in ℝ3 with σ ∈ (0, 1), λ ∈ ℝ and p ∈ (2 + σ, 2 + (4/3)σ). By using the constrained variational method, we show the existence of solutions with prescribed L2 norm for this problem.
Jing Yang, Dimitrios Tsimpis
wiley +1 more source
Modelling solute transport in soil columns using advective-dispersive equations with fractional spatial derivatives [PDF]
, 2010 Solute transport in soils is commonly simulated with the advective–dispersive equation, or ADE. It has been reported that this model cannot take into account several important features of solute movement through soil.
San Jose Martinez, Fernando
core +1 more source
On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term −Δu+Vxu=∫ΩGvy/x−yβdygv in Ω,−Δv+Vxv=∫ΩFuy/x−yαdyfu in Ω,u=00,v= on ∂Ω,where Ω ⊂ ℝN is a bounded domain with a smooth boundary, 0 < α < N, 0 < β < N, and F is the primitive of f, similarly for G.
Wenbo Wang +3 more
wiley +1 more source
On fractional Choquard equations [PDF]
, 2014 We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion.
Siciliano, Gaetano +5 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
core +4 more sources
Existence of positive solutions for a class of fractional Choquard equation in exterior domain
Discrete & Continuous Dynamical Systems, 2022 In this paper we show existence of positive solutions for a class of problems involving the fractional Laplacian in exterior domain and Choquard type nonlinearity.
C. Ledesma
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