单莹莹,澳门新葡萄官方网站澳门新葡萄官方网站,副教授,硕士生导师。主要从事非线性分析,偏微分方程理论与数值解的研究。————————————————————————————————————————————
一、教育经历
2006.09—2010.07,澳门新葡萄官方网站,数学与应用数学,学士;
2010.09—2012.07,哈尔滨工业大学,基础数学,硕士;
2012.09—2015.07,哈尔滨工业大学,数学,博士;————————————————————————————————————————————
二、科研与学术工作经历
2015.09—2020.08, 澳门新葡萄官方网站,澳门新葡萄官方网站,讲师;
2020.09—至今,澳门新葡萄官方网站,澳门新葡萄官方网站,副教授;————————————————————————————————————————————
三、主持或参加科研项目
l具奇异性偏微分方程谱元法和间断谱元法的误差估计,国家自然科学基金面上项目, 2023-01 至 2026-12,在研,参与(合作单位主持人);
l谱和谱元方法求解奇异性问题的最优误差估计,国家自然科学基金青年科学基金项目,2019-01 至 2021-12,结题,参与;
l几类变指数函数空间及其应用,国家自然科学基金面上项目,2018-01 至2021-12,结题,参与(合作单位主持人);
l一类具变指数增长的非线性椭圆问题的研究,国家自然科学基金青年科学基金项目,2017-01 至 2019-12,结题,参与;
l 具分数阶增长的椭圆方程解的奇异集的研究,黑龙江省省属高等学校基本科研业务费,2023-01 至 2024-12,在研,主持;
l几类具分数变阶增长的 Laplace 方程解得奇点可去性,黑龙江省普通本科高等学校青年创新人才培养计划,2020-07 至 2023-07,结题,主持;
l一类具变指数增长椭圆方程解的奇异集合的研究,黑龙江省省属高等学校基本科研业务费,2021-01 至 2022-12,结题,主持;
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四、代表性学术论文
[1] Shan Yingying, Zhang Binlin. Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth[J]. Potential Analysis. 2023, 59, 153–166.
[2] Shan Yingying, Fu Yongqiang. Nonlinear Boundary Value Problems of a Class of Elliptic Equations Involving Critical Variable Exponents[J]. Boundary Value Problems, 2019, 2019(122):1-21.
[3] Shan Yingying, Liu Wenjie. Wu Boying. Space–time Legendre–Gauss–Lobatto Collocation Method for Two-dimensional Generalized Sine-Gordon Equation [J]. Applied Numerical Mathematics, 2017, 122: 92–107.
[4] Fu Yongqiang, Shan Yingying. On the Removability of Isolated Singular Points for Elliptic Equations involving Variable Exponent[J]. Advances in Nonlinear Analysis, 2016, 5(2): 121-132.
[5] Shan Yingying, Fu Yongqiang. Removability of Compact Singular Sets for Nonlinear Elliptic Equations with p(x)-Growth[J]. Complex Variables and Elliptic Equations, 2016, 61(2): 151–165.
[6] Fu Yongqiang, Shan Yingying. Removable Sets for Holder Continuous Solutions of Elliptic Equations Involving Variable Exponent[J]. Journal of Mathematical Analysis and Applications, 2015, 424: 1296–1322.
[7] Fu Yongqiang, Shan Yingying. Removability of Singularity for Nonlinear Elliptic Equations with p(x)-Growth[J]. Electronic Journal of Qualitative Theory of Differential Equations, 2013, 58: 1–17.————————————————————————————————————————————
Email: shanyingying@hlju.edu.cn