潘洪京，男，博士，華南師範大學數學科學學院副教授、碩士生導師。
基本介紹
- 中文名：潘洪京
- 畢業院校：北京大學
- 學位/學歷：博士
- 職業：教師
- 專業方向：Nonlinear Functional Analysis (非線性泛函分析)
- 職務：華南師範大學數學科學學院碩士生導師
- 任職院校：華南師範大學數學科學學院
- 職稱：副教授
- 性別：男
個人經歷,教育經歷,工作經歷,主講課程,研究方向,學術成果,榮譽獎勵,
個人經歷
教育經歷
1997--2001 BA Jilin University (本科 吉林大學 數學專業)；
2001--2004 MS Jilin University (碩士 吉林大學 泛函分析)；
2004--2008 Ph.D Peking University (博士 北京大學 非線性分析)。
工作經歷
2008.07--2012.08 Lecturer South China Normal University (講師 華南師範大學)；
2012.12--Present Associate Prof. South China Normal University (副教授 華南師範大學)；
2015.08--2016.08 Visiting Scholar University of Notre Dame, U.S.A.(訪問學者 聖母大學，美國)。
基礎數學、套用數學 學術型碩士生導師。
主講課程
實變函式，機率論與數理統計，離散數學，線性代數，高等數學。
研究方向
Nonlinear Functional Analysis (非線性泛函分析); Mathematical Models in Engineering and Biology (工程和生物學中的數學模型)。
學術成果
主持完成的科研項目：
科研論文：
My publications & citations (list from Mathematical Reviews---MathSciNet, subscription required)
My publications & citations (from Google scholar)
My ResearchGate
My ORCID
Published articles
[20]. A Free Boundary Problem with Two Moving Boundaries Modeling Grain Hydration,
Nonlinearity 31 (2018), no.8, 3591-3617. (with Xing, Ruixiang and Hu, Bei)
[19]. Bifurcation for a free boundary problem modeling tumor growth with ECM and MDE interactions,
Nonlinear Anal. Real World Appl. 43 (2018), 362-377. (with Xing, Ruixiang)
[18]. Bifurcation results for a class of prescribed mean curvature equations in bounded domains,
Nonlinear Analysis: Theory, Methods & Applications 171 (2018), 21–31. (with Xing, Ruixiang)
[17]. Fringing field can prevent infinite time quenching,
Nonlinear Anal. Real World Appl. 30 (2016), 126–142.(with Xing, Ruixiang)
[16]. Double grow up and global convergence of solutions for a parabolic prescribed mean curvature problem,
Nonlinear Analysis: Theory, Methods & Applications 125 (2015), 201–226. (with Xing, Ruixiang)
[15]. Applications of total positivity theory to 1D prescribed curvature problems,
Journal of Mathematical Analysis and Applications 428 (2015), no. 1, 113–144. (with Xing, Ruixiang)
[14]. On the existence of positive solutions for some nonlinear boundary value problems and applications to MEMS models,
Discrete and Continuous Dynamical Systems, 35(2015), no.8, 3627-3682. (with Xing, Ruixiang)
[13]. Infinite Time Gradient Blow-Up for Parabolic Prescribed Mean Curvature Equations,
J. Math. Anal. Appl., 422 (2015), no.1, 446-455. (with Xing, Ruixiang and Zeng, Pingan)
[12]. Nonexistence of Solutions for Prescribed Mean Curvature Equations on a Ball,
J. Math. Anal. Appl., 406 (2013), no.2, 482-501. (with Xing, Ruixiang)
[11]. Sub- and Supersolution Methods for Prescribed Mean Curvature Equations with Dirichlet Boundary Conditions,
J. Differential Equations. 254 (2013), no.3, 1464–1499.(with Xing, Ruixiang)
[10]. Exact Multiplicity Results for a One-Dimensional Prescribed Mean Curvature Problem related to MEMS Models,
Nonlinear Anal. Real World Appl. 13 (2012), no.5, 2432–2445.(with Xing, Ruixiang)
[9]. Radial Solutions for a Prescribed Mean Curvature Equation with Exponential Nonlinearity,
Nonlinear Analysis: Theory, Methods & Applications 75 (2012), no.1, 103–116. (with Xing, Ruixiang)
[8]. A Note on the Nonexistence of Solutions for Prescribed Mean Curvature Equations on a Ball.
Nonlinear Analysis: Theory, Methods & Applications 74 (2011), no.18, 7437–7445. (with Xing, Ruixiang)
[7]. A Note on Parabolic Liouville Theorems and Blow-Up Rates for a Higher-order Semilinear Parabolic System.
International Journal of Differential Equations. (2011) Volume 2011, Article ID 896427, 9 pages. (with Cai, Guocai and Xing, Ruixiang)
[6]. Time Maps and Exact Multiplicity Results for One-Dimensional Prescribed Mean Curvature Equations.II.
Nonlinear Analysis: Theory, Methods & Applications 74 (2011), no.11, 3751-3768. (with Xing, Ruixiang)
[5]. Time Maps and Exact Multiplicity Results for One-Dimensional Prescribed Mean Curvature Equations.
Nonlinear Analysis, 74 (2011), no.4, 1234–1260. (with Xing, Ruixiang)
[4]. One-Dimensional Prescribed Mean Curvature Equation with Exponential Nonlinearity.
Nonlinear Analysis: Theory, Methods & Applications 70 (2009), no.2, 999–1010.
[3]. A Priori Bounds for Global Solutions of Higher-Order Semilinear Parabolic Problems.
J. Partial Differential Equations 21 (2008), no.3, 221–233. (with Xing, Ruixiang)
[2]. Blow-Up Rates for Higher-Order Semilinear Parabolic Equations and Systems and Some Fujita-type Theorems.
J. Math. Anal. Appl. 339 (2008), no.1, 248–258. (with Xing, Ruixiang)
[1]. Compactness, Positive Weights and Cαβ Classification of Operator Weighted Shifts.(in Chinese)
Acta Anal. Funct. Appl. 6 (2004), no.1, 86–92. (with Sun, Shanli)
Preprints
[1]. On the existence of positive solutions for some nonlinear boundary value problems.II.
榮譽獎勵
廣州市珠江科技新星(2014)。
