报告题目： The discrete two point nonlinear boundary value problem with the mean curvature operator

报 告 人：周 展 教授(广州大学)

报告时间：2019年10月25号 下午 16:00-17:00

报告地点：数学科学学院108教室

报告人简介：

周展，二级教授、博士生导师，教育部“长江学者和创新团队发展计划”创新团队带头人，享受国务院政府特殊津贴专家，广州市“优秀专家”，中国数学会理事。现任广州大学应用数学研究中心执行主任，数学与信息科学学院副院长。

先后主持长江学者和创新团队发展计划2项、国家自然科学基金6项、高等学校博士点基金2项及教育部优秀青年教师资助计划等科研项目多项。作为负责人，获广州市首批建设科研创新学术团队。

报告摘要: In this talk, I will introduce some results on the positive solutions for some discrete two point nonlinear boundary value problems with the mean curvature operator by using critical point theory. First, some sufficient conditions on the existence of infinitely many positive solutions are given. We show that, the suitable oscillating behavior of the nonlinear term near at the origin and at infinity will lead to the existence of a sequence of pairwise distinct nontrivial positive solutions. Then, the existence of at least two positive solutions is established when the nonlinear term is not oscillatory both at the origin and at infinity. Examples are also given to illustrate our main results at last.