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吴元泽
男,汉族,1985年3月生,共产党员、博士、中国矿业大学优秀青年骨干教师、副教授、硕士生导师。毕业于苏州大学数学科学学院基础数学专业,获理学博士学位(导师黄毅生教授),主要研究领域为非线性分析和非线性微分方程。目前兼任数学与应用数学系党支部书记。
一、教育经历
1.2008/09 - 2013/06,苏州大学,数学科学学院,基础数学专业,理学博士
2.2004/09 - 2008/06,苏州大学,数学科学学院,数学与应用数学(师范)专业,理学学士
二、工作经历
1.2018/01 -至今,中国矿业大学,数学学院,副教授
2.2013/07 - 2017/12,中国矿业大学,数学学院,讲师
3.2018/10-2019/09,加拿大英属哥伦比亚大学(University of British Columbia),数学系,访问学者(合作导师:魏军城教授)
4.2014/09-2014/09,台湾高雄大学,应用数学系,访问学者(合作导师:吴宗芳教授)
5.2014/07-2014/08,清华大学,数学科学系,访问学者(合作导师:邹文明教授)
三、教学简介:
承担本科《数学分析》、《基础数学实践》、《高等数学》等课程的教学工作。
主持/参与教改项目:
1.中国矿业大学青年教改项目“基于基础实践的数学分析习题课课程建设的研究与探索”(No.2017QN09), 2017.07-2019.07, 0.4万,主持
2.中国矿业大学十三五品牌工程子课题“数学学院优秀本科生中国大学生数学竞赛项目培训与辅导”,2017.07-2019.07,3万,参与
3.中国矿业大学十三五品牌工程子课题“分析数学系列课程建设”,2017.07-2019.07,3万,参与
四、科研简介:
主持/参与科研项目:
1.国家自然科学基金青年基金“关于一类含临界Sobolev指数的Kirchhoff方程的研究”(No.11701554),2018.1.1-2020.12.31,26.2万,主持
2.国家自然科学基金面上项目“最优控制和重排优化问题的研究”(No. 11771319),2018.1.1-2021.12.31,48万,参与(排名第三)
3.中国矿业大学学科前沿面上项目“关于两类Kirchhoff型方程的研究”(2017XKQY091),2017.1.1-2019.12.31,20万,主持
4.国家自然科学基金数学天元金基金“关于全空间上一类Kirchhoff型方程正解的存在性和多重性的研究”(No. 11626226),2017.1.1-2017.12.31,3万,主持
5.中国矿业大学青年科技基金“含变号位势的非线性薛定谔方程解的研究”(No.2014QNA67), 2014.1.1-2016.12.31,10万,主持
科研论文:
已发表/接收的论文
1.Yuanze Wu (Corresponding author), Wenming Zou, Spikes of the two-component elliptic system in R4 with thecritical Sobolev exponent, Calculus of Variations, 58(2019), article 24.
2.Yuanze Wu, On the semiclassical solutions of a two-component elliptic system in R4 with trapping potentials and Sobolev critical exponent: the repulsive case, Zeitschrift fur angewandte Mathematik und Physik, 69(2018), article 111.
3.Yuanze Wu, Least energy sign-changing solutions of the singularly perturbed Brezis–Nirenberg problem, Nonlinear Analysis, 171(2018), 85–101.
4.Yuanze Wu, Sign-changing semi-classical solutions of the Brezis–Nirenberg problems with jump nonlinearities in high dimensions, Journal of Mathematical Analysis and Applications, 461(2018), 7–23.
5.Yuanze Wu, Spikes of sign-changing solutions to the critical Schrodinger equations with trapping potentials, Applicable Analysis, Published on line, DOI:10.1080/00036811.2017.1408082.
6.Yuanze Wu, On finding the ground state solution to the linearly coupled Brezis-Nirenberg system in high dimensions: the cooperative case, Topological Methods in Nonlinear Analysis, 2018, accepted.
7.Yisheng Huang, Yuanze Wu (Corresponding author), On a Kirchhoff Equation in Bounded Domains, Advanced Nonlinear Studies, 18(2018), 613–648.
8.Yisheng Huang, Zeng Liu (Corresponding author), Yuanze Wu, On Kirchhoff type equations with critical Sobolev exponent, Journal of Mathematical Analysis and Applications, 462(2018), 483–504.
9.Yuanze Wu (Corresponding author), Tsung-Fang Wu, Wenming Zou, On a two-component Bose–Einstein condensate with steep potential wells, Annali di Matematica Pura ed Applicata, 196(2017), 1695–1737.
10.Yuanze Wu, On a K-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case, Calculus of Variations, 56(2017), article 151.
11.Juntao Sun, Tsung-fang Wu (Corresponding author), Yuanze Wu, Existence of nontrivial solution for Schrodinger–Poisson systems with indefinite steep potential well, Zeitschrift fur angewandte Mathematik und Physik, 68(2017), article 73.
12.Yisheng Huang, Zeng Liu, Yuanze Wu (Corresponding author), On a biharmonic equation with steep potential and indefinite potential, Advanced Nonlinear Studies, 16(2016),699-717.
13.Yisheng Huang, Zeng Liu, Yuanze Wu (Corresponding author), On finding solutions of a Kirchhoff type problem, Proceedings of the American Mathematical Society, 144(2016), 3019-3033.
14.Yuanze Wu (Corresponding author), Yisheng Huang, Zeng Liu, Kirchhoff type problem with potential well and indefinite potential, Electronic Journal of Differential Equations, 178(2016), 2016.
15.Yuanze Wu (Corresponding author), Yisheng Huang, Zeng Liu, On a Kirchhoff type problem in RN, Journal of Mathematical Analysis and Applications, 425 (2015), 548-564.
16.Yisheng Huang (Corresponding author), Tsung-fang Wu, Yuanze Wu, Multiple positive solutions for a class of concave–convex elliptic problems in RN involving sign-changing weight, II, Communications in Contemporary Mathematics, 17 (2015), 1450045 (35 pages).
17.Yuanze Wu (Corresponding author), Yisheng Huang, Zeng Liu, Sign-changing solutions for Schrodinger equations with vanishing and sign-changing potentials, Acta Mathematica Scientia, 34B (2014), 691-702.
18.Yisheng Huang, Zeng Liu (Corresponding author), Yuanze Wu, On a nonlinear Schrodinger equation with indefinite potential, Nonlinear Analysis: Real World Applications, 17 (2014), 161-170.
19.Yuanze Wu, Yisheng Huang (Corresponding author), Sign-changing solutions for Schrodinger equations with indefinite supperlinear nonlinearities, Journal of Mathematical Analysis and Applications, 401 (2013), 850-860.
20.Yuanze Wu (Corresponding author), Yisheng Huang, Infinitely many sign-changing solutions for p-Laplacian equation involving the critical Sobolev exponent, Boundary Value Problems, (2013) 149 (10 pages).
预印本论文
1.Juncheng Wei, Yuanze Wu, Ground states of nonlinear elliptic systems with mixed couplings, 2018, preprint.
2.Chao Ji, Zhi-Qiang Wang, Yuanze Wu , A monotone property of the ground state energy to the scalarfield equation and applications, 2018, preprint.
3.Yuanze Wu, Ground state of a K-component critical system with linear and nonlinear couplings: an attractive case, 2018, preprint.
4.Yuanze Wu, Wenming Zou, Ground-state solutions of a two-componentelliptic system in R4 with the Sobolev criticalexponent, 2018, preprint.
5.Yisheng Huang, Zeng Liu, Yuanze Wu, On a critical Kirchhoff problem in high dimensions, arXiv:1605.06906, 2016, 22 pages.
6.Yisheng Huang, Zeng Liu, Yuanze Wu, Positive solutions to an elliptic equation in RN of the Kirchhoff type, arXiv:1603.07428, 2016, 32 pages.
7.Yuanze Wu, Wenming Zou, On a doubly critical Schrodinger system in R4 with steep potential wells, arXiv:1506.03148, 2015, 53 pages.
五、主要荣誉
1.中国矿业大学模范班主任,2018.9
2.中国矿业大学教育教学成果一等奖(排名第5),2018.6
3.中国矿业大学首届“双带头人”党支部书记,2018.5
4.中国矿业大学优秀青年骨干教师,2017.11
5.江苏省高校第五届数学基础课青年教师授课竞赛三等奖,2017.11
6.中国矿业大学本科教学工作审核评估先进个人,2017.11
7.中国矿业大学第十八届青年教师讲课比赛一等奖