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  • 邓志颖


    邓志颖,湖南省武岗市人,理学博士(Ph.D),教授,硕士生导师,重庆邮电大学文峰高端(省部级后备)人才。

    近年来讲授的主要课程有:《Fundamentals of Advanced Mathematics》(I,II)、《实变函数》、《复变函数》、《Functional Analysis》、《微分方程中的变分方法》(研,双语)和《数学物理方法》等。

    主要研究领域有

    1.非线性偏微分方程(Nonlinear PDE):包括光滑与非光滑临界点理论、微分方程中的变分方法、微分方程中的摄动方法和拓扑方法等。

    2.非线性泛函分析:包括不动点理论、拓扑度理论、锥理论和序理论等。

    3.凸分析和非光滑分析:包括最优化理论、平衡点理论、解析不等式和变分不等式理论等。

    近年来本人所指导的硕士研究生发表、接收和提交的科研论文:

    [1] 王奇峰,邓志颖*, 含Henon临界指数的非线性椭圆边值问题的正解,西南大学学报(自然科学版),2016,38(11):79-85. (中文核心,CSCD-C) cf.http://www.cnki.net/kcms/doi/10.13718/j.cnki.xdzk.2016.11.012.html#

    [2] 王奇峰,邓志颖, 含Henon临界指数的半线性椭圆边值问题解的存在性,西南师范大学学报(自然科学版), 2016, 出版中.(中文核心,CSCD-C)

    近年来本人以第一作者发表、接收和提交的科研论文(通讯作者以"*"标出):

    2014年至2017年

    [1]Zhiying Deng(邓志颖)*,Yisheng Huang,On positive $G$-symmetric solutionsof a weighted quasilinear elliptic equation with critical Hardy-Sobolev exponent,Acta Mathematica Scientia,34B(5)(2014) 1619-1633. (SCI:AP7QR,JCR三区,Impact Factor: 0.620(2014),0.509(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S0252960214601089#

    [2]Zhiying Deng(邓志颖)*,Yisheng Huang,Existence of positive symmetric solutions for singular quasilinear elliptic systems involving critical exponent,应用数学, 27(5)(2014)65-76. (中文核心, CSCD-C) cf.http://maths.hust.edu.cn/yysx/jinqimuci/1402.html#

    [3]Zhiying Deng(邓志颖)*,Yisheng Huang, Positive symmetric solutions for a class of critical quasilinear elliptic problems in $\\mathbb{R}^{N}$,Boundary Value Problems,2014(2014),ID: 154,18 pages. doi:10.1186/s13661-014-0154-y (SCI:AY2AF,JCR三区,Impact Factor: 1.014(2014)),0.879(5-Year)) cf.http://link.springer.com/article/10.1186/s13661-014-0154-y#

    [4]邓志颖*,黄毅生, 沈世云, 含Sobolev临界指数的半线性椭圆系统的对称正解,应用数学学报, 38(5)(2015) 816-834. (中文版, B类权威数学期刊,CSCD-C) cf.http://www.cnki.net/kcms/detail/detail.aspx?filename=YYSU201505006&dbcode=CJFQ&dbname=CJFD2015&v=#

    [5]Zhiying Deng(邓志颖)*,Yisheng Huang,Multiple symmetric results for quasilinear elliptic systems involving singular potentials and critical Sobolev exponents in $\\mathbb{R}^{N}$,Abstract and Applied Analysis, Volume 2014(2014),Article ID 430976, 14 pages. (国际一般英文期刊) cf.http://www.hindawi.com/journals/aaa/2014/430976/#

    [6]Zhiying Deng(邓志颖)*,Yisheng Huang, Symmetric solutions for singular quasilinear elliptic systems involving multiple critical Hardy-Sobolev exponents,Boundary Value Problems,2015(2015):37,19 pages. (SCI:CD6RO,JCR二区,Impact Factor: 1.014(2014)),0.879(5-Year)) cf.http://link.springer.com/article/10.1186/s13661-015-0296-6#

    [7]Zhiying Deng(邓志颖)*,Yisheng Huang, Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents,Applied Mathematics and Computation, 264(1)(2015) 323-334. (SCI:CJ5TO, EI:20152100874530, JCR二区,Impact Factor: 1.600(2014), 1.672(5-Year)) cf.www.sciencedirect.com/science/article/pii/S0096300315005615#

    [8]Zhiying Deng(邓志颖)*,Qifeng Wang, Yisheng Huang,On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in $\mathbb{R}^{N}$,Journal of Inequalities and Applications,2016(2016):238,22 pages.(SCI:EH4FK, JCR三区,Impact Factor:0.630(2016)) cf.http://link.springer.com/article/10.1186/s13660-016-1179-9#

    [9]Zhiying Deng(邓志颖)*,Rui Zhang, Yisheng Huang, Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity,Mathematical Methods in the Applied Sciences, 40(5)(2017) 1538-1552. doi: 10.1002/mma.4078 (SCI:EP3SX, JCR三区,Impact Factor: 1.002(2016)) cf.http://onlinelibrary.wiley.com/doi/10.1002/mma.v40.5/issuetoc#

    [10]Zhiying Deng(邓志颖)*,Yisheng Huang,Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in $\mathbb{R}^{N}$,Boundary Value Problems, 2017(2017):28, 21 pages. (SCI:EM0HU,JCR三区,Impact Factor: 0.642(2016)) cf.http://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-017-0758-0#

    [11]Zhiying Deng(邓志颖)*,Yisheng Huang, Multiple symmetric results for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in $\mathbb{R}^{N}$,Acta Mathematica Scientia,2017, Accept. (SCI源刊,JCR三区,Impact Factor: 0.557(2016),0.520(5-Year))

    2013年和前几年

    [1]Zhiying Deng(邓志颖)*,Yisheng Huang, Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobolev exponents,Nonlinear Analysis: Real World Applications14(2013) 613-625.(SCI:020BW,EI:20123915463643,JCR一区,Impact Factor:2.201(2013),2.151(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S1468121812001460#

    [2]Zhiying Deng(邓志颖)*,Yisheng Huang, On G-symmetric solutions of a quasilinear elliptic equation involving critical Hardy-Sobolev exponent,Journal of Mathematical Analysis and Applications384(2011) 578-590.(SCI: 810AE,JCR二区, Impact Factor: 1.001(2011),1.305(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S0022247X11005609#

    [3]Zhiying Deng(邓志颖),Yisheng Huang*, On G-symmetric solutions of criticalelliptic equations of Caffarelli-Kohn-Nirenberg type,Nonlinear Analysis: Real World Applications12(2011) 1089-1102.(SCI:689HQ, EI:20104613398413,JCR一区,Impact Factor: 2.043(2011),1.971(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S1468121810002221#

    [4]Zhiying Deng(邓志颖)*,Yisheng Huang, Existence and multiplicity of symmetric solutions for a class of singular elliptic problems,Nonlinear Analysis:Real World Applications13(2012)2293-2303.(SCI:929UY, EI:20121414915335,JCR一区,Impact Factor:2.043(2011),1.971(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S1468121812000338#

    [5]Zhiying Deng(邓志颖)*,Yisheng Huang, Existence and multiplicity of symmetric solutions for semilinear elliptic equations with singular potentials and critical Hardy-Sobolev exponents,Journal of Mathematical Analysis and Applications393(2012) 273-284. (SCI: 949LN,JCR二区, Impact Factor: 1.001(2011),1.305(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S0022247X12002764#

    [6]邓志颖*,黄毅生,含有奇异位势和临界指数的拟线性椭圆方程的G-对称解,中国科学:数学, 42(10)(2012)1053-1066, (中文版,A类权威数学期刊,CSCD-C) cf.http://math.scichina.com:8081/sciA/CN/volumn/volumn_6518.shtml#

    [7]Zhiying Deng(邓志颖)*,Yisheng Huang, Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems,Applied Mathematics and Computation219(2013) 4836-4846. (SCI: 054TM, EI:20125115825866, JCR二区, Impact Factor: 1.349(2013),1.454(5-Year)) cf.http://www.sciencedirect.com/science/article/pii/S0096300312011393#

    [8]Zhiying Deng(邓志颖)*,Yisheng Huang,Symmetric solutions for quasilinear elliptic equations with singular weights,Acta Mathematica Sinica(AMS, 数学学报, 英文版, JCR四区,Under Review)#

    [9]邓志颖*,黄毅生, 具Hardy-Sobolev临界指数的非齐次椭圆方程的正解,应用数学学报, 32(6)(2009) 1104-1122. (中文版, B类权威数学期刊, EI Inspec: 11320748, CSCD-C)

    [10]邓志颖*,黄毅生, 一类非线性椭圆方程正解的存在性,数学物理学报, 28A(5)(2008) 971-976.(中文核心,CSCD-C)

    [11]邓志颖*,黄毅生, 一类奇异临界双调和椭圆方程的群不变解,应用数学, 25(3)(2012) 608-615.(中文核心,CSCD-C)

    [12]邓志颖*,刘祥清,沈世云,GA-凸函数的Hadamard型不等式的改进和应用,数学的实践与认识,42(20)(2012) 201-207. (中文核心,CSCD-E)

    [13]邓志颖*,刘祥清, 一类含Hardy位势的拟线性椭圆方程的正解,苏州大学学报(自然科学版), 25(4)(2009) 4-9.

    [14]邓志颖*,刘祥清, 一类含Hardy奇异项的p(x)-Laplace方程的正解,湖北民族学院学报(自然科学版), 29(4)(2011) 361-367.

    主持和参与的科研项目:

    1.带奇异项和临界指数项的二阶非线性椭圆边值问题,重庆邮电学院青年教师基金项目(No.A2005-19),项目负责人, 已结题.

    2.CKN型奇异非线性椭圆方程的研究,重庆邮电大学博士启动基金项目(No.A2011-46),项目负责人,在研.

    3.奇异CKN型椭圆边值问题中的关键问题研究,重庆市教委科学技术研究项目(No.KJ130503),项目负责人,已结题.

    4.非线性Schrodinger方程及其相关问题的变分方法研究,国家自然科学基金面上项目(No.11471235),合作(排名第二), 2015.01-2018.12,在研.

    5.参研项目:

    1)一类带增长项的趋化模型的数学理论研究,国家自然科学基金青年基金项目(No.11601052),2017.01-2019.12,排名第二. 项目负责人: 王良晨(博士), 在研.

    2)增广拉格朗日函数方法及其应用,国家自然科学基金面上项目(No.11171247),2012.01-2015.12,已结题.

    3)非线性特征值问题及其相关问题,国家自然科学基金面上项目(No.11071180),2011.01-2013.12,已结题.

    4)非线性Schrodinger方程(组)驻波的多重性及相关问题研究,云南省科技计划项目(No. 2009CD043), 已结题(排名第三).

    参与的科研团队:(1)应用数学研究所;(2)系统科学研究中心;(3)复杂系统分析与控制研究中心非线性动力学与控制创新团队

    通讯地址:重庆邮电大学理学院,邮政编码: 400065, E-mail地址:dengzy@cqupt.edu.cn

    课程建设:实变函数与泛函分析, 网址链接:http://slxy.cqupt.edu.cn/sbhs/

    照片介绍:第四届华人数学家大会Me和誉为“Ricci流之父”的世界著名数学家(美国科学院院士)Prof. Richard Hamilton ( 理查德·哈密尔顿 )中间休息时的合影