
高红亮,博士,副教授,硕士生导师。2016年6月毕业于西北师范大学,获博士学位;同年12月到兰州交通大学工作。目前主要从事分歧理论及其应用、非线性微分方程解集的全局结构以及解的确切个数等方面的研究工作,在《J. Funct. Anal.》、《J. Math. Anal. Appl.》、《Complex Var. Elliptic》、《Electron. J. Qual. Theory Differ. Equ.》、《Boundary value problems》、《Acta Math. Sci.》等SCI期刊上发表论文10余篇。博士论文荣获2017年甘肃省优秀博士论文。
科研项目:
[1] 国家自然科学基金(No. 11801234),2019.01-2021.12,主持
[2] 校青年科学基金(No. 2017012),2018.07-2020.6,主持
代表性论著:
[1] Global structure of radial positive solutions fora prescribed meancurvature problem in a ball (with R. Ma and Y. Lu), J. Func. Anal. 270(2016), 1240-1252.
[2] Radial positive solutions of nonlinear elliptic systems with Neumann boundary conditions (with R. Ma and Y. Lu), J. Math. Anal. Appl. 434(2016): 1240-1252.
[3] Radial positive solutions for Neumann problems without growth restrictions (with R. Ma and T. Chen), Complex Var. Elliptic. 6(2017), 848-861.
[4] Multiple positive solutions for a class of semipositone Neumann problems with singular \varphi-Laplician (with R. Ma), Acta Math. Sci. 37(2017), 1472-1482.
[5] Multiple positive solutions for a class of Neumann problems (with R. Ma), Electron. J. Qual. Theory Differ. Equ., 48(2015), 1-7.