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广西大学数学与信息科学学院导师教师师资介绍简介-何其涵

本站小编 Free考研考试/2021-06-12

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何其涵
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广西贵港
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韩霞
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数学与信息科学学院
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何其涵,博士,硕士生导师,现任职于广西大学数学与信息科学学院。主要研究方向是偏微分方程,现主持国家自然科学基金地区基金1项,曾主持国家自然科学基金青年基金1项,国家自然科学基金天元基金1项,广西自然科学基金青年基金1项等,参与多项省部级及以上项目。在JMAA, ADE等杂志上发表论文十多篇。
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数学分析,常微分方程,泛函分析等
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偏微分方程
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主持项目:1、几类椭圆型方程组解的存在性及其性态研究 国家自然科学基金 2、带非局部项的薛定谔方程组正解的存在性及其性态研究 国家自然科学基金3、全空间上变分形式的非线性椭圆型方程的研究 国家自然科学基金 4、几类椭圆型方程和方程组的解的存在性及性态研究 广西自然科学基金(省级) 5、 薛定谔方程组的正解的唯一性研究 博世科青年教师创新人才培养项目(厅级) 6、几类薛定谔方程组的解的相关性研究 校级项目 参与项目:1、两类典型的非线性椭圆方程(组)解的存在性及其性态研究 国家自然科学基金 2、大规模张量分解模型与算法研究 霍英东教育基金 3、偏微分方程研究 广西自然科学基金(省级) 4、带外力场的Boltzmann方程的格林函数和渐进分析 广西自然科学基金(省级) 5、关于分形集上拟对称映射的若干研究 广西自然科学基金(省级) 6、分形集的拟对称极小性及加倍测度的若干研究 广西自然科学基金(省级) 7、 一类半线性椭圆方程解的集中现象 校级项目
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(1) Qihan He; Zongyan Lv; Existence and nonexistence of nontrivial solutions for critical biharmonic equations, Journal of Mathematical Analysis and Applications, 2021, 495(1): 124713. (期刊论文) (2) Qihan He; Chunhua Wang; Da-Bin Wang; Construction of solutions for a critical problem with competing potentials via local Pohozaev identities, Communications in Contemporary Mathematics, 2020, 1(1): 1. (期刊论文) (3) He, Qihan; Yang, Jing*; Characterization of ground states for an M-coupled system in a bounded domain with critical exponent, Mathematical Methods in the Applied Sciences, 2020, 43(11): 6871-6887. (期刊论文) (4)He, Qihan*; Peng, Yanfang; Infinitely many Solutions with Peaks for a Fractional System in Double-struck capital R-N, Acta Mathematica Scientia, 2020, 40(2): 389-411. (期刊论文) (5)Ding, Hui-Sheng; He, Qihan*; Existence and asymptotic behavior of positive ground state solutions for nonlinear Kirchhoff problems, Communications in Nonlinear Science & Numerical Simulation, 2020, 90: 105369. (期刊论文) (6)He, Qihan; Peng, Shuangjie*; EXISTENCE, CHARACTERIZATION AND NUMBER OF GROUND STATES FOR COUPLED EQUATIONS, Electronic Journal of Differential Equations, 2019, 127. (期刊论文) (7)He, Qihan; Yang, Jing*; Quantitative properties of ground-states to an M-coupled system with critical exponent in R^N, Science China Mathematics, 2018, 61(4): 709-726. (期刊论文) (8)He QiHan; Luo Xiao*; A positive solution of a nonlinear Schrodinger system with nonconstant potentials, Science China Mathematics, 2017, 60(12): 2407-2420. (期刊论文) (9)He, Qihan; Peng, Shuangjie; Peng, Yanfang*; Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system, Advances in Differential Equations, 2017, 22(11-12): 867-892. (期刊论文) (10)He, Qihan; Wang, Chunhua*; Nodal vector solutions with clustered peaks for nonlinear elliptic equations in R-3, Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2016, 146(5): 947-982. (期刊论文) (11)He, Qihan; Long, Wei*; The concentration of solutions to a fractional Schrodinger equation, Zeitschrift fur Angewandte Mathematik und Physik, 2016, 67(1): UNSP 9. (期刊论文) (12)He, Qihan; Peng, Shuangjie*; Synchronized vector solutions to an elliptic system, Proceedings of the American Mathematical Society, 2016, 144(9): 4055-4063. (期刊论文) (13)Dai, Jinjun; He, Qihan*; Li, Biwen; Nodal bound states with clustered spikes for nonlinear schrodinger equations, Acta Mathematica Scientia, 2014, 34(6): 1892-1906. (期刊论文) (14)Qihan He; Juntao Lv; Zongyan Lv; Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to at infinity, Advances in Nonlinear Analysis(即将见刊) (期刊论文)
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