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NIRENBERG: 作品数：42被引量：62H指数：3; 导出分析报告; 相关领域：理学农业科学更多>>; 相关作者：樊自安刘春静孙福在赵廷昌晁龙军更多>>; 相关机构：中国科学技术大学浙江师范大学湖北工程学院罗格斯大学更多>>; 相关期刊：《生物学教学》《Analysis in Theory and Applications》《高校应用数学学报（A辑）》《Science China Mathematics》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金湖北省教育厅科学技术研究项目山西省自然科学基金更多>>

The Brezis–Nirenberg Problem for the Fractional p-Laplacian in Unbounded Domains: 《Acta Mathematica Sinica,English Series》2023年第11期2181-2206,共26页Yan Sheng SHEN; Natural Science Foundation of China(Grant No.12071185)。; In this paper we study the existence of nontrivial solutions to the well-known Brezis–Nirenberg problem involving the fractional p-Laplace operator in unbounded cylinder type domains.By means of the fractional Poinca...; 关键词：Brezis–Nirenberg problem fractional Poincaréinequality fractional p-Laplacian unbounded cylinder type domains concentration–compactness principle

Louis Nirenberg (1925—2020) (Ⅱ): 《数学译林》2023年第2期125-139,157,共16页Robert V.Kohn Yanyan Li 陆柱家(译) 童欣(校); Luis Caffarelli我于1967年进入布宜诺斯艾利斯大学.当时军队领导着这个国家,许多顶尖科学家都在国外.尽管如此,大学里剩下的教职员工和学生还是非常敬业和用功的.我毕业于阿根廷实分析的Calderon-Zygmund(齐格蒙德)学派,并获得去美国...; 关键词：明尼阿波利斯奖学金顶尖科学家教职员工阿根廷

Louis Nirenberg(1925-2020)(Ⅰ): 《数学译林》2023年第1期20-31,共12页Robert V.Kohn Yanyan Li 陆柱家(译) 童欣(校); 引言Louis Nirenberg(尼伦伯格)于2020年1月26日在曼哈顿去世,享年94岁.他是20世纪最有影响力的分析家之一.作为偏微分方程的领袖专家,他的基本贡献在许多领域产生了重大影响,包括几何学、复分析和流体动力学.Nirenberg的影响反映了他...; 关键词：偏微分方程复分析流体动力学尼伦伯格几何学曼哈顿合作者

非局部的对流Cahn-Hilliard方程: 《高校应用数学学报（A辑）》2022年第4期441-447,共7页徐婷蒲志林; 考虑非局部对流Cahn-Hilliard方程Neumann边界问题解的最大值估计.对流Cahn-Hilliard方程可以描述许多的物理现象,如相分离系统中的二元合金和热力学不稳定晶体表面的生长等现象.近年来,对具有对流项的经典Cahn-Hilliard方程的研究有很...; 关键词：对流Cahn-Hilliard方程非局部Cahn-Hilliard方程 Nirenberg-Gagliardo不等式解的最大值估计

Nodal Solutions of the Brezis-Nirenberg Problem in Dimension 6: 《Analysis in Theory and Applications》2022年第1期1-25,共25页Angela Pistoia Giusi Vaira 无; Fondi di Ateneo"Sapienza"Universita di Roma(Italy).G.Vaira was partially supported by PRIN 2017JPCAPN003"Qualitative and quantitative aspects of nonlinear PDEs,r.; We show that the classical Brezis-Nirenberg problem-△μ=μ|μ|+λμinΩ,μ=0 on■Ω,when O is a bounded domain in R^(6)has a sign-changing solution which blows-up at a point in n asλapproaches a suitable valueλ_(0)>0.; 关键词：Sign-changing solutions blow-up phenomenon Ljapunov-Schmidt reduction Transversality theorem

Cahn-Hilliard和粘性Cahn-Hilliard方程解的最大值估计: 《应用数学进展》2022年第1期526-536,共11页薛春香蒲志林; 本文研究了具有一般非线性条件的Cahn-Hilliard方程和粘性Cahn-Hilliard方程解的最大值估计。首先,我们用能量估计的方法得到解的Lq 范数有界。然后,利用Nirenberg-Gagliado不等式得到解的本性上确界有界。; 关键词：CAHN-HILLIARD方程粘性Cahn-Hilliard方程最大值估计 Nirenberg-Gagliado不等式

Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds: 《Science China Mathematics》2021年第7期1649-1702,共54页Shihshu Walter Wei; supported by National Science Foundation of USA(Grant No.DMS1447008)。; We observe,utilize dualities in differential equations and differential inequalities(see Theorem 2.1),dualities between comparison theorems in differential equations(see Theorems E and 2.2),and obtain dualities in"swa...; 关键词：radial curvature HESSIAN LAPLACIAN Caffarelli-Kohn-Nirenberg inequality F-harmonic map F-Yang-Mills field

临界Hartree方程组基态解的存在性: 《数学进展》2020年第1期53-63,共11页郑雨沈自飞; supported by NSFC(No.11671364)。; 本文考虑临界耦合的Hartree方程组{-△+λu=∫Ω|u(z)|^2*μ/|x-z|μdz|u|^2*μ-2u+βν,x∈Ω,-△+νu=∫Ω|ν(z)|^2*μ/|x-z|μdz|u|^2*μ-2u+βν,x∈Ω,其中Ω是RN中带有光滑边界的有界区域,N≥3,λ,v是常数,且满足λ,v>-λ1(Ω),...; 关键词：Hartree方程组 Brezis-Nirenberg问题 Hardy-Littlewood-Sobolev不等式临界指标

PROPERTIES OF SOLUTIONS OF n-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS被引量：1: 《Annals of Applied Mathematics》2019年第4期392-448,共57页Linghai Zhang; Consider the n-dimensional incompressible Navier-Stokes equations δ/(δt)u-α△u +(u ·△↓)u + △↓p = f(x, t), △↓· u = 0,△↓· f = 0,u(x, 0) = u0(x), △↓·u0=0.There exists a global weak solution under some as...; 关键词：the n-dimensional incompressible Navier-Stokes equations decay estimates with sharp rates exact limits appropriate coupling of existing ideas and results Fourier transformation Parseval's identity Lebesgue's dominated convergence theorem Gagliardo-Nirenberg's interpolation inequality

Nonlinear time-harmonic Maxwell equations in a bounded domain: Lack of compactness被引量：1: 《Science China Mathematics》2018年第11期1963-1970,共8页Jaroslaw Mederski; supported by the National Science Centre of Poland (Grant No. 2013/09/B/ST1/01963); We survey recent results on ground and bound state solutions E:?→R^3 of the problem {▽(▽×E)+}λE=|E|^(P-2)E in Ω,v×E=0 on Ω on a bounded Lipschitz domain ??R^3,where?×denotes the curl operator in R^3.The equat...; 关键词：time-harmonic Maxwell equations perfect conductor ground state variational methods strongly indefinite functional Nehari-Pankov manifold Brezis-Nirenberg problem critical exponent

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