报告题目:Existence and concentration behaviour of nontrivial solutions for Kirchhoff type equations with steep potential well and lower perturbations
报 告 人:黄先玖 教授(南昌大学)
报告时间:2026年10月31日(星期六)18:55-19:50
报告地点:腾讯会议(会议号466204942)
校内联系人: 朱传喜 教授 联系方式:84708351-8420
报告摘要:In this talk, we study a class of Kirchhoff type equations with concave and convex nonlinearities and steep potential well. Firstly, we obtain a positive energy solution by a truncated functional. Furthermore, the concentration behavior of the solution is also explored when as λ→ꝏ. Secondly, we also give the existence of a negative solution via Ekeland variational principle. Finally, we show a nonexistence result of the nontrivial solutions.
报告人简介:黄先玖,南昌大学教授,博士生导师,江西省百千万人才,江西省杰青,江西省数学会常务理事兼秘书长,澳大利亚国立大学访问学者,主要从事非线性分析与决策分析等领域的研究。在中国科学:数学、J. Math. Anal. Appl., Appl. Math. Lett., Comput. Math. Appl., Int. J. Fuzzy Syst.等期刊上发表学术论文70余篇,其中SCI收录论文65篇,主持国家自然科学基金项目3项,省部级科研项目5项。获国家级教学成果奖二等奖1项、江西省教学成果奖一等奖2项、江西省自然科学奖二等奖、三等奖各1项。