楊敏波,男,1979年7月出生,浙江省餘杭(縣市)人,現為浙江師範大學數學科學學院院長,教授、博士生導師
基本介紹
- 中文名:楊敏波
- 出生地:浙江省餘杭
- 出生日期:1979年7月
- 職稱:教授
學習經歷,工作簡歷,人才梯隊,研究領域,論文論著,科研項目,教學情況,
學習經歷
1998.9-2002.7 浙江師範大學大學數理學院獲理學學士,數學與套用數學專業
2002.9-2005.7 浙江師範大學大學數理學院獲理學碩士,基礎數學專業
2007.9-2010.7 中國科學院大學研究生學院獲理學博士學位,基礎數學專業
20013.9-至今 受巴西國家科學技術發展委員會CNPq資助赴巴西UFCG大學訪學
工作簡歷
2005.8-至今 浙江師範大學數理與信息工程學院任教
助教(2005.9)/講師(2007.9)/副教授(2012.9)碩導(2012.10)
人才梯隊
浙江省高校中青年學科帶頭人
研究領域
主要關注與研究非局域橢圓型偏微分方程(組)解的存在性、漸近行為與集中性質;非局域臨界熱方程與Hartree方程解的穩定性與爆破分析;非局域Lane-Emden方程及其相關問題解的分類;具有強不定變分結構的微分方程解的存在性與集中性;擬線性薛丁格方程的變分與分歧方法。近年來在Calc. Var. Partial Differential Equations、Mathematische Zeitschrift、Commun. Anal. Geom.、J. Differential Equations、Nonlinearity、Ann. Mat. Pura. Appl.、Discrete Contin. Dyn. Syst. A、Pacific Journal of Mathematics、J. Geo. Anal.、中國科學(中、英)等國內外高水平學術期刊上錄用發表論文80餘篇。
論文論著
37. Minbo Yang, Weiwei Ye, Shuneng Zhao, Existence of concentrating solutions of the Hartree type Brezis-Nirenberg problem, J. Differential Equations, 344, (2023), 260--324.
36. Minbo Yang, C. A. Santos, P. Ubilla, Jiazheng Zhou, Multiple solutions for a singular quasilinear Schrodinger equation in R^N, Discrete Contin. Dyn. Syst. A, 43, (2023), 507--536.
35. Fashun Gao, Vitaly Moroz, Minbo Yang*, Shunneng Zhao, Construction of infinitely many solutions for a critical Choquard equation via local Pohoaev identities, Calc. Var. Partial Differential Equations, (2022) 61:222.
34. Siyu Chen, Carlos. Santos, Minbo Yang, Jiazheng Zhou, Global multiplicity of solutions for a defocusing quasilinear Schrodinger equation with singular term, Sci. China Math., accepted
33. Weiwei Ye, Zifei Shen, Minbo Yang*, Normalized solutions for a critical Hartree equation with perturbation, The Journal of Geometric Analysis, (2022), no. 9, Paper No. 242, 44 pp.
32. Liejun Shen, V. Radulescu, Minbo Yang, Planar Schrodinger-Choquard equations with potentials vanishing at infinity: the critical case, J. Differential Equations, 329(2022), 206--254.
31. Liejun Shen, Marco Squassina, Minbo Yang, Critical gauged Schrodinger equations in $\R^2$ with vanishing potentials, Discrete Contin. Dyn. Syst. A, 42(9), (2022), 4415--4438.
30. Michael Melgaard, Minbo Yang*, Xianmei Zhou, Regularity, symmetry and asymptotic behaviour of solutions for some Stein-Weiss type integral systems, Pacific Journal of Mathematics, 317(2022) 153--186.
29. Minbo Yang, V. Radulescu, Xianmei Zhou, Critical Stein-Weiss elliptic systems: symmetry, regularity and asymptotic properties of solutions, Calc. Var. Partial Differential Equations, (2022) 61:109.
28. L. Du, F. Gao, Minbo Yang*, On elliptic equations with Stein-Weiss type convolution parts, Mathematische Zeitschrift, 301 (2) (2022), 2185-2225
27. C.O. Alves, Minbo Yang, Existence and multiplicity of solutions for a class of indefinite variational problems,Communications in Analysis and Geometry, accepted.
26. Xiang Li, Minbo Yang*, Xianmei Zhou, Qualitative properties and classification of solutions for elliptic equations with Stein-Weiss type convolution part, Sci. China Math., doi:10.1007/s11425-021-1918-1
25. Fashun Gao, V. Radulescu, Minbo Yang, Yu Zheng, Standing waves for pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity, J. Differential Equations, 295 (2021), 70--112.
24. Fashun Gao, Haidong Liu, Vitaly Moroz, Minbo Yang, High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents, J. Differential Equations, 287(2021) ,329--375.
23. Minbo Yang, Fukun Zhao and Shunneng Zhao, Classification of solutions to Hartree equation with double Hardy-Littlewood-Sobolev critical parts, Discrete Contin. Dyn. Syst. A, 2021, 41(11), 5209--5241.
22. Minbo Yang*, Xianmei Zhou, On a coupled Schrodinger system with Stein-Weiss type convolution part, The Journal of Geometric Analysis, 31,(2021), 10263--10303.
21. Carlos. Santos, Minbo Yang*, Jiazheng Zhou, Global multiplicity of solutions for a modified elliptic problem with singular terms, Nonlinearity, 34 (2021), 7842--7871.
20. Y. Ding, F. Gao, Minbo Yang*, Semiclassical states for Choquard type equations with critical growth: critical frequency case, Nonlinearity,33 (2020), 6695--6728.
19. F. Gao, Edcarlos. Silva, Minbo Yang*, J. Zhou, Existence of solutions for critical Choquard equations via the concentration compactness method, Proc. Roy. Soc. Edinb. A , 150(2)2020, 921--954.
18. Lele Du, Minbo Yang*, Uniqueness and nondegeneracy of solutions for a critical nonlocal equation, Discrete Contin. Dyn. Syst. A., 2019,39(10): 5847--5866.
17. Lushun Wang, Minbo Yang, Yu Zheng, Infinitely many segregated solutions for coupled nonlinear Schrodinger systems, Discrete Contin. Dyn. Syst. A. 2019,39(10):6069--6102.
16. Minbo Yang*, Carlos. A. Santos, Jiazheng Zhou, Least action nodal solutions for a quasilinear defocusing Schrodinger equation with supercritical nonlinearity, Commun.Contemp. Math., 2019,21 (5),1850026.
15. Zifei Shen, Fashun Gao, Minbo Yang*, On critical Choquard equation with potential well,Discrete Contin. Dyn. Syst. A., 2018,38(7):3669--3695.
14. Fashun Gao, Minbo Yang*, A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality, Commun.Contemp. Math., 20(2018),no. 4, 1750037, 22 pp.
13. Fashun Gao, Minbo Yang*, The Brezis-Nirenberg type critical problem for nonlinear Choquard equation, Sci. China Math., 61(2018), no. 7,1219--1242.
12. Minbo Yang*, Semiclassical ground state solutions for a Choquard type equation in R^2 with critical exponential growth, ESAIM: Control, Optimisation and Calculus of Variations, 24 (2018), 177--209.
11. C. O. Alves, Fashun Gao, M. Squassina,Minbo Yang*, Singularly perturbed critical Choquard equations, J. Differential Equations, 63(2017),no. 7, 3943--3988.
10. C.O. Alves, A. Nobrega, Minbo Yang*, Multi-bump solutions for Choquard equation with deepening potential well, Calc. Var. Partial Differential Equations, 55 (2016), 48, 28 pp
9. C.O. Alves, Minbo Yang, Existence of positive multi-bump solutions for a Schrodinger-Poisson system in R^3, Discrete Contin. Dyn. Syst. A. 36 (2016), 5881--5910.
8. Minbo Yang*, Concentration of Positive Ground State Solutions for Schrödinger–Maxwell Systems with Critical Growth. Adv. Nonlinear Stud.,16 (2016), 389--408.
7. C. O. Alves, Minbo Yang, Investigating the multiplicity and concentration behaviour of solutions for a quasi-linear Choquard equation via the penalization method, Proc. Roy. Soc. Edinb., A,146(2016), 23--58.
6. C. O. Alves, D. Cassani, C. Tarsi and Minbo Yang*, Existence and concentration of ground state solutions for a critical nonlocal Schrodinger equation in R2, J. Differential Equations,, 261 (2016),1933--1972.
5. C. O. Alves, Minbo Yang*, Existence of semiclassical ground state solutions for a generalized Choquard equation. J. Differential Equations, 257(2014), no. 11, 4133--4164.
4. Minbo Yang*, Yanheng Ding, Existence of semiclassical states for a quasilinear Schrödinger equation with critical exponent in RN. Ann. Mat. Pura Appl. (4) 192 (2013), no. 5, 783--804.
3. Minbo Yang*, Fukun Zhao, Yanheng Ding, On the existence of solutions for Schrödinger-Maxwell systems in R3. Rocky Mountain J. Math. 42(2012), no. 5, 1655--1674.
2. Wenxiong Chen, Minbo Yang, Yanheng Ding, Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms. Sci. China Math.,54 (2011), no. 12, 2583--2596.
1. Minbo Yang*, Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities, Nonlinear Analysis TMA . 72 (2010), no. 5, 2620--2627.
科研項目
10.《若干數學物理中的非線性微分方程的解及其性質研究》,LZ22A010001,浙江省自然科學基金重點項目,202201--202412,主持
9.《浙江師範大學與巴西利亞大學非線性分析與偏微分方程研究領域的科研合作和人才培養》,國家留學基金管理委員會,202010--202210,主持
8.《非局域作用下非線性薛丁格方程解的分類》,國家自然科學基金委與英國皇家學會合作交流項目,202007--202206,主持
7.《具有非局域或強不定特性的非線性問題的變分和非變分方法》,國家自然科學基金面上項目,202001--202312,主持
6.《非局部微分方程的變分方法研究》,國家自然科學基金面上項目,201601--201912,主持
5.《非線性Choquard方程與Dirac方程的奇異擾動問題》,省自然科學基金項目,201501--201712,主持
4.《薛定鄂方程及其相關問題的變分方法研究》,國家自然科學基金青年項目,201201--201412,主持
3.《利用變分方法研究一類非局部薛丁格方程解的存在性》Existencia de solucao para uma classe de Equacoes de Schrodinger nao locais via metodos variacionais,巴西國家科學技術發展委員會CNPq項目,201308--201408,主持
2.《一類非線性橢圓方程正解與變號解的存在性與非存在性》 Sobre Existenciae Na-Existencia de Solucos Positivas e Nodais para problemas elipticos na lineares, 巴西巴西利亞聯邦區FAP-DF項目,2018,參與
1.《無窮維Hamiltion系統同宿軌的存在性與多解性問題研究》,省自然科學基金項目,200801--201012,主持
教學情況
為本科生主講課程有《圖論》、《解析幾何》、《高等數學》,指導本科生論文20餘篇;為研究生開設《有限群導引》、《有限集上的組合學》等課程,指導培養碩士研究生2名。