云南高校图书馆联盟文献共享服务平台- Journal of Partial Differential Equations

《Journal of Partial Differential Equations》: 作品数：646被引量：373H指数：8; 导出分析报告; 主办单位：郑州大学数学研究所; 最新期次：2024年4期更多>>; 发文主题：EXISTENCEEQUATION偏微分方程PARTIAL_DIFFERENTIAL_EQUATIONSSOLUTIONS更多>>; 发文领域：理学自动化与计算机技术文化科学电子电信更多>>; 发文基金：国家自然科学基金中国博士后科学基金国家教育部博士点基金福建省自然科学基金更多>>

Averaging of a Three-Dimensional Brinkman-Forchheimer Equation with Singularly Oscillating Forces: 《Journal of Partial Differential Equations》2024年第4期355-376,共22页SONG Xueli LI Xiaofeng DENG Xi QIAO Biaoming; supported in part by the National Natural Science Foundation of China(Nos.11601417 and 12001420).; We consider the uniform attractors of a 3D non-autonomous Brinkman-Forchheimer equation with a singularly oscillating force∂u/∂t-γΔu+au+b|u|u+c|u|^(2)u+∇p=f_(0)(x,t)+ε^(-ρ)f_( 1)(x,t/ε),for ρ∈[0,1)and ε>0,and ...; 关键词：Brinkman-Forchheimer equation uniform attractor singularly oscillating external force uniform boundedness

Ground State Solutions for Kirchhoff Equations via Modified Nehari-Pankov Manifold: 《Journal of Partial Differential Equations》2024年第4期377-401,共25页TANG Biyun LAN Yongyi; supported by Natural Science Foundation of Fujian Province(Nos.2022J01339 and 2020J01708);National Foundation Training Program of Jimei University(ZP2020057)。; We investigate the Kirchhoff type elliptic problem(a+b∫_(R^(N))[|∇u|^(2)+V(x)u^(2)]dx)[-Δu+V(x)u]=f(x,u),x∈R^(N),where both V and f are periodic in x,0 belongs to a spectral gap of−∆+V.Under suitable assumptions on...; 关键词：Kirchhoff equation Nehari-Pankov manifold ground state solution multiplicity of solutions

A Weighted Trudinger-Moser Inequality and Its Extremal Functions in Dimension Two: 《Journal of Partial Differential Equations》2024年第4期402-416,共15页ZHAO Juan YU Pengxiu; supported by the Outstanding Innovative Talents Cultivation Funded Programs 2023 of Renmin University of China。; Let Ω be a smooth bounded domian in R^(2),H_(0)^(1)(Ω)be the standard Sobolev space,and λ_(f)(Ω)be the first weighted eigenvalue of the Laplacian,namely,λ_(f)(Ω)=inf_(u∈H_(0)^(1)(Ω),∫Ωu^(2)dx=1)∫_(Ω)|∇u|^(...; 关键词：Trudinger-Moser inequality extremal functions blow-up analysis

Adams-Onofri Inequality with Logarithmic Weight and the Associated Mean Field Bi-Harmonic Equation: 《Journal of Partial Differential Equations》2024年第4期417-426,共10页MA Pan ZHU Maochun; This paper is devoted to establishing the Adams-Onofri inequality with logarithmic weight for the second order radial Sobolev space defined on the unit ball in IR4.By using this inequality we obtain the existence of s...; 关键词：Adams-Onofri inequality Logarithmic weight mean field equation EXISTENCE

C^(1,α)-Regularity for p-Harmonic Functions in SU(3): 《Journal of Partial Differential Equations》2024年第4期427-466,共40页YU Chengwei; supported by the National Natural Science Foundation of China(Nos.12025102,11871088).; This artical concerns the C_(loc)^(1,α)-regularity of weak solutions u to the degenerate subelliptic p-Laplacian equationΔ_(H,p)u(x)=∑_(i=1)^(6)X_(i)^(*)(|∇_(H)u|^(p-2)X_(i)u)=0,where H is the orthogonal complement...; 关键词：p-Laplacian equation C^(1 a)-regularity SU(3) Caccioppoli inequality De Giorgi pharmonic function

Global Existence and Stability for a Viscoelastic Wave Equation with Nonlinear Boundary Source Term: 《Journal of Partial Differential Equations》2024年第4期467-481,共15页MELLAH Mohamed HAKEM Ali LIU Gongwei; This work considers the initial boundary value problem for a viscoelastic wave equation with a nonlinear boundary source term.Under suitable assumptions,we prove the existence of global weak solutions using the Galerk...; 关键词：Viscoelastic equation nonlinear boundary source STABILIZATION

Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain: 《Journal of Partial Differential Equations》2024年第4期482-490,共9页MU Yanmin WANG Wenkang ZHANG Jing; supported in part by NSFC(Grant No.11701268);Natural Science Foundation of Jiangsu Province of China(BK20171040);Chinese Postdoctoral Science Foundation(2018M642277).; In this paper we firstly prove the global well-posedness for the compressible Hall-magnetohydrodynamic system in a bounded domain when the initial data is small.On this basis,we continue to study the convergence of th...; 关键词：Compressible Hall-magnetohydrodynamic system global well-posedness incompressible limit

Author Index to Volume 37: 《Journal of Partial Differential Equations》2024年第4期491-491,共1页

The Compactness of Extremals for a Singular Hardy-Trudinger-Moser Inequality: 《Journal of Partial Differential Equations》2024年第3期235-250,共16页LUO Qianjin LI Xiaomeng; supported by the Natural Science Foundation of China(12201234);the Natural Science Foundation of Anhui Province of China(2008085MA07).; Motivated by a recent work of Wang-Yang[19],we study the compactness of extremals[ug]for singular Hardy-Trudinger-Moser inequalities due to Hou[24].In particular,by the method of blow-up analysis,we conclude that,up t...; 关键词：COMPACTNESS Hardy-Trudinger-Moser inequality blow-up analysis

Solution of Klein-Gordon Equation by a Method of Lines Using Reproducing Kernel Hilbert Space Method: 《Journal of Partial Differential Equations》2024年第3期251-262,共12页PATEL Kaushal PATEL Gautam; This paper presents a method of lines solution based on the reproducing kernel Hilbert space method to the nonlinear one-dimensional Klein-Gordon equation that arises in many scientific fields areas.Our method uses di...; 关键词：Method of Lines reproducing kernel Hilbert space method Klein-Gordon equation

《Journal of Partial Differential Equations》