孙俊涛

作者:
来源:数学与统计学院
发布时间:2021-08-29
阅览次数:3609

 

数学与统计学院导师基本信息


 

孙俊涛

职称/职务

二级教授/执行院长

出生年月

1982.11

学历/学位

研究生/博士

导师类别

博导、硕导

电子邮箱

jtsun@sdut.edu.cn

研究方向

非线性偏微分方程、动力系统

代表性论著

1. Yao Shuai, Chen Haibo, Sun Juntao*, Normalized solutions for the Chern-Simons-Schrodinger system under the nonlinear combined effect, Sci China Math. 66 (2023) 2057-2080.

2. Wang Chao, Sun Juntao*, Normalized solutions for the p-Laplacian equation with a trapping potential, Adv. Nonlinear Anal. 12 (2023) 20220291.

3. Yao Shuai, Chen Haibo, Vicentiu D. Radulescu, Sun Juntao*, Normalized solutions for lower critical Choquard equations with critical Sobolev perturbation, SIAM J. Math. Anal. 54 (2022) 3696-3723.

4. Sun Juntao*, Wu Tsung-fang, On Schrodinger-Poisson systems involving concave-convex nonlinearities via a novel constraint approachCommun. Contemp. Math. 26 (2021) 205008.

5. Sun Juntao, Wu Tsung-fang, The number of nodal solutions for the Schrodinger-Poisson system under the effect of the weight function, Discrete Contin. Dyn. Syst. 41 (2021) 3651-3682.

6. Sun Juntao, Wang Kuan-Hsiang, Wu Tsung-fang, On indefinite Kirchhoff-type equations under the combined effect of linear and superlinear terms, J. Math. Phys. 62 (2021) 031505.

7. Sun Juntao*, Wu Tsung-fang, Bound state nodal solutions for the non-autonomous Schrodinger-Poisson system in R^3, J. Differential Equations 268 (2020) 7121-7163.

8. Sun Juntao*, Wu Tsung-fang, On Schrodinger–Poisson systems under the effect of steep potential well (2 < p <4), J. Math. Phys. 61 (2020) 071506.

9. Sun Juntao*, Wu Tsung-fang, Feng Zhaosheng, Two positive solutions to non-autonomous Schrodinger-Poisson systems, Nonlinearity 32 (2019) 4002–4032.

10. Sun Juntao*, Wu Tsung-fang, Feng Zhaosheng, Non-autonomous Schrodinger-Poisson systems in R^3, Discrete Contin. Dyn. Syst. 38 (2018) 1889-1933.

11. Sun Juntao, Chu Jifeng, Wu Tsung-fang, Existence and multiplicity of nontrivial solutions for some biharmonic equations with p-Laplacian, J. Differential Equations 262 (2017) 945-977.

12. Sun Juntao, Wu Tsung-fang, Feng Zhaosheng, Multiplicity of positive solutions for a nonlinear Schrodinger-Poisson system, J. Differential Equations 260 (2016) 586–627.

13. Sun Juntao, Wu Tsung-fang, Ground state solutions for an indefinite Kirchhoff type problem with steep potential well, J. Differential Equations 25620141771-1792.

14. Sun Juntao, Chen Haibo, Nieto Juan J., On ground state solutions for some non-autonomous Schrodinger-Poisson systems, J. Differential Equations 25220123365-3380. 

科研项目

1. 国家自然科学基金面上项目,12371174,具有竞争特征的非线性积分微分方程的动力学研究,2024.01-2027.1243.5万,主持

2. 山东省杰出青年科学基金项目,ZR2020JQ01非局部微分方程的定性与稳定性理论2021.01-2023.1293万,主持

3. 非线性偏微分方程,山东省高校青创人才引育计划创新团队,2019.10-2022.09150万,主持

4. 国家自然科学基金面上项目,11671236两类非局部方程孤波解的存在性、稳定性及其动力学行为研究,2017.01-2020.1248万,主持

5. 山东省优秀青年科学基金项目,ZR2015JL002,非线性Kirchhoff型椭圆方程正解的存在性研究,2015.07-2016.1226万,主持

6. 国家自然科学基金青年项目,11201270奇异微分方程的同宿轨与异宿轨研究,2013.01-2015.1223万,主持

7. 山东省自然科学基金青年项目,ZR2012AQ010,基于临界点理论的脉冲微分方程周期解、同宿解与异宿解研究,2012.07-2015.075万,主持

8. 中国博士后科学基金特别资助,2015T80491,非线性Kirchhoff型方程解的定性分析,2015.01-2017.0115万,主持

科研奖励

1、几类非线性微分方程的定性与稳定性分析,孙俊涛(1/2),山东省自然科学二等奖, 2019.02

荣誉称号

1山东省泰山学者青年专家,2020

2、淄博市有突出贡献的中青年专家,2019

3、淄博市优秀共产党员,2021

4、山东理工大学双百工程二层次人才,2020

学术兼职

山东省工业与应用数学会理事,2021

曲阜师范大学兼职博士生导师,2020

人才培养

培养毕业研究生4人,在读6人,其中1人获山东省优秀硕士学位论文,1人获校级优秀硕士学位论文,3获研究生国家奖学金。

 


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