主要科研项目
1、2020.1-2022.12,带有临界指标的高阶非局部椭圆型方程的研究,
国家自然科学基金青年项目,主持
2、2020.1-2021.12,临界非局部椭圆型方程的研究,
北京市自然科学基金青年项目,主持
3、2019.6-2021.6,具有变分形式的临界非局部椭圆型方程的研究,
第12批中国博士后科学基金特别资助(站中),主持
4、2018.6-2019.6,非局部椭圆方程解的存在性与紧性研究,
第63批中国博士后科学基金面上资助二等资助,主持
5、2018.8-2021.8,若干非局部椭圆问题的研究,
北京市优秀人才培养青年骨干个人项目,主持
6、2017.10-2019.6,与变分法相关的非局部偏微分方程的研究,
北京市博士后工作经费资助项目,主持
7、2018.10-2019.6,分数阶椭圆型偏微分方程的研究,
朝阳区博士后科研活动经费资助,主持
8、2018.1-2019.12,关于分数阶椭圆型方程解的性态研究,
北京市教育委员会科技计划一般项目,主持
代表性成果与荣誉
发表的论文:已发表SCI学术论文十余篇,刊发在Journal of Differential Equations,Journal of Functional Analysis,Calculus of Variations and Partial Differential Equations等国际知名期刊上。
1.Niu, Miaomiao; Tang, Zhongwei; Zhou, Ning; Compactness of Solutions to Higher-Order Elliptic Equations, International Mathematics Research Notices, (2023), 1-52.
2.Chen, Yongpeng;Niu, Miaomiao; Multiplicity of solutions for a class of upper critical Choquard equation with steep potential well, Journal of Fixed Point Theory and Applications,25 (1)(2023), 1-24.
3.Liu, Min;Niu, Miaomiao; Construction of solutions for a critical Grushin problem with competing potentials, Annals of Functional Analysis ,13 (4)(2022), 1-31.
4.Chen, Yongpeng;Niu, Miaomiao;Ground state solutions of nonlinear Schrödinger equations involving the fractional p-Laplacian and potential wells, Open Mathematics,20 (1)(2022), 50-62.
5.Chen, Yongpeng;Niu, Miaomiao; The multiplicity of solutions for the critical Schrödinger-Poisson system with competing potentials, Journal of Mathematical Physics,62(2021), 1-21.
6.Niu, Miaomiao;Tang, Zhongwei;Wang, Lushun; Solutions for conformally invariant fractional Laplacian equations with multi-bumps centered in lattices,Journal of Differential Equations,266(2019),1756–1831.
7.Niu, Miaomiao;Peng, Zhipeng;Xiong, Jingang; Compactness of solutions to nonlocal elliptic equations,J. Funct. Anal.,275(2018),2333–2372.
8.Niu, Miaomiao;Tang, Zhongwei;Wang, Lushun; Least energy solutions for indefinite biharmonic problems via modified Nehari-Pankov manifold,Commun. Contemp. Math.,20(4)(2018),35 pp.
9.Liu, Weiming;Niu, Miaomiao; Multi-peak positive solutions for the fractional Schrodinger-Poisson system,Commun. Contemp. Math.,20 (3)(2018).
10.Guo, Yuxia;Nie, Jianjun;Niu, Miaomiao;Tang, Zhongwei; Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in RN,Calc. Var. Partial Differential Equations,56(2017),41 pp.
11.Liu, Weiming;Niu, Miaomiao;Peng, Yanfang; Vector solutions with clustered peaks for nonlinear fractional Schrödinger systems in RN,Z. Angew. Math. Phys.,68(2017),30 pp.
12.Niu, Miaomiao;Tang, Zhongwei; Least energy solutions for nonlinear Schrödinger equation involving the fractional Laplacian and critical growth,Discrete Contin. Dyn. Syst.,37(2017),3963–3987.
13.Niu, MiaoMiao;Tang, ZhongWei; Least energy solutions of nonlinear Schrödinger equations involving the fractional Laplacian and potential wells,Sci. China Math.,60(2017),261–276.
14.Liu, Weiming;Niu, Miaomiao; Multiple positive solutions for the nonlinear Schrödinger -Poisson system,Ann. Acad. Sci. Fenn. Math.,42(2017),285–302.
15.Niu, Miaomiao;Tang, Zhongwei; Least energy solutions for nonlinear Schrödinger equations involving the half Laplacian and critical growth,J. Fixed Point Theory Appl.,18(2016),367–395.
16.Niu, Miaomiao;Tang, Zhongwei; Least energy solutions of nonlinear Schrödinger equations involving the half Laplacian and potential wells,Commun. Pure Appl. Anal.,15(2016),1215–1231.
所获的荣誉:2019年被评为“北京市优秀人才”青年骨干